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1. Top results related to obtuse angled triangle

   • Obtuse Angled Triangle: Definition, Formula, Properties & Example

     Obtuse angle triangles are triangles in which one angle of the triangle measures greater than 90 degrees. As the name suggests one angle of an obtuse angle triangle is an obtuse angle. A triangle is a closed, two-dimensional geometric figure with three angles, and the sum of all the angles of a triangle is 180 degrees. On the basis of a measure of angles, we divide the triangle into three categories i.e.

     • Right Triangle
     • Acute Triangle
     • Obtuse Triangle

     Now, let’s learn more about obtuse angled triangles, their properties, formulas, examples, and others in detail in this article.

     Obtuse Angled Triangle Definition

     An obtuse-angled triangle is defined as a triangle whose one interior angle measures more than 90°. According to the angle sum property of a triangle, the sum of all the interior angles of an obtuse-angled triangle is 180°. As one interior angle in an obtuse-angled triangle i.e. it measures more than 90°, the other two interior angles are acute, and their sum is than 90° so that the triangle sum property holds true. 

     In an obtuse angle triangle, the side opposite to the obtuse angle is the longest side. The figure given...

     • 95°
     • 179°
     • 156°, etc
     • Scalene Obtuse Triangle
     • Isosceles Obtuse Triangle
     • The side opposite to the obtuse angle in the obtuse-angled triangle is the largest side of the triangle.
     • The sum of the interior angles of an obtuse-angled triangle is always equal to 180°.
     • A triangle can have a maximum of one Obtuse angle as the sum of all the interior angles of triangles should not exceed 180°.
     • In an obtuse-angled triangle, the circumcentre and the orthocentre lie outside the triangle, whereas the centroid and the incenter lie inside the triangle.
     • “b” is the base length, and
     • “h” is the height of the triangle.
     • “s” is the semi-perimeter,
     • s = (a + b + c)/2, and
     • a, b, and c are the side lengths of the triangle.
     • Scalene Obtuse Triangle
     • Isosceles Obtuse Triangle

     Check all answers on Geeksforgeeks

     1/5

   • Obtuse Angled Triangle: Definition, Formula, Properties & Example

     Obtuse angle triangles are triangles in which one angle of the triangle measures greater than 90 degrees. As the name suggests one angle of an obtuse angle triangle is an obtuse angle. A triangle is a closed, two-dimensional geometric figure with three angles, and the sum of all the angles of a triangle is 180 degrees. On the basis of a measure of angles, we divide the triangle into three categories i.e.

     • Right Triangle
     • Acute Triangle
     • Obtuse Triangle

     Now, let’s learn more about obtuse angled triangles, their properties, formulas, examples, and others in detail in this article.

     Obtuse Angled Triangle Definition

     An obtuse-angled triangle is defined as a triangle whose one interior angle measures more than 90°. According to the angle sum property of a triangle, the sum of all the interior angles of an obtuse-angled triangle is 180°. As one interior angle in an obtuse-angled triangle i.e. it measures more than 90°, the other two interior angles are acute, and their sum is than 90° so that the triangle sum property holds true. 

     In an obtuse angle triangle, the side opposite to the obtuse angle is the longest side. The figure given...

     • 95°
     • 179°
     • 156°, etc
     • Scalene Obtuse Triangle
     • Isosceles Obtuse Triangle
     • The side opposite to the obtuse angle in the obtuse-angled triangle is the largest side of the triangle.
     • The sum of the interior angles of an obtuse-angled triangle is always equal to 180°.
     • A triangle can have a maximum of one Obtuse angle as the sum of all the interior angles of triangles should not exceed 180°.
     • In an obtuse-angled triangle, the circumcentre and the orthocentre lie outside the triangle, whereas the centroid and the incenter lie inside the triangle.
     • “b” is the base length, and
     • “h” is the height of the triangle.
     • “s” is the semi-perimeter,
     • s = (a + b + c)/2, and
     • a, b, and c are the side lengths of the triangle.
     • Scalene Obtuse Triangle
     • Isosceles Obtuse Triangle

     Check all answers on Geeksforgeeks

     2/5

   • find if the triangle is right, acute or obtuse angled

     Top Answer

     Answered Sep 06, 2015 · 3 votes

     I've simplified your code, by finding the longest side first, and removing most of the comparisons (and brackets).

     But most importantly, your squares comparison for acute and obtuse was the wrong way round. The sum of the smaller sides' squares is greater than the longest, for an acute triangle.

     #include <stdio.h>#include <stdlib.h>#include <math.h>//Program that calculates the type of triangleint main(int argc, char *argv[]) { int x,y,z,longest; printf("Type in the integer lengths of 3 sides of a triangle:\n"); scanf("%d %d %d", &x, &y, &z); //reads the user's inputs if((x<=0) || (y<=0) || (z<=0)) { printf("This is not a triangle.\n"); } else { if((x + y <= z) || (x + z <= y) || (y + z <= x)) { printf("This is not a triangle.\n"); } else { longest = z; if (longest < x) { z = longest; longest = x; x = z; } if (longest < y) { z = longest; longest = y; y = z; } if( x * x + y * y == longest * longest ) { printf("This is a right-angled triangle.\n"); } else if( x * x + y * y > longest * longest) { printf("This is an acute-angled triangle.\n"); } else printf("This is an obtuse-angled triangle.\n"); } } return 0;}

     Check all answers on Stack Overflow

     3/5

   • Triangle Type given three points (acute, obtuse, right)

     Top Answer

     Answered Sep 16, 2014 · 1 votes

     You have three serious errors and two misdemeanours.

     (1) Don't call the squares of the sides side1, side2, side3. It's very confusing, but it won't make your program give incorrect results.

     (2) You take square roots, then square the results. This is pointless, but again, it's not really an error.

     (3) Don't round the squares of the sides as they may not be integers. This will introduce errors if the side lengths are not integers.

     (4) Replace || with && in the condition for acuteness. All three of these inequalities must hold for the triangle to be acute. This is the error that's making it all go wrong.

     (5) For the obtuseness condition to be correct, you'd want the original side lengths, not the squares of the sides; and you'd want <= in place of <. But since the three lengths have come from distances between actual points, all that's left to check at this stage is whether the points are collinear. For this, it would be less prone to rounding errors if you use an equality such as (x2-x1)*(y3-y2)==(y2-y1)*(x3-x2) which will be true if and only if the points are collinear.

     Check all answers on Stack Overflow

     4/5

   • Also try

     properties of obtuse angled triangle	obtuse angled triangle altitudes
     obtuse angled triangle definition	area of obtuse angled triangle
     isosceles obtuse angled triangle

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2. www.omnicalculator.com › math › right-triangle-sideRight Triangle Calculator | Find Missing Side and Angle

   www.omnicalculator.com › math › right-triangle-side

   • Cached

   5 days ago · How to find the missing side or angle of a right triangle? We have the answer! Check it with our right triangle side and angle calculator.

   • Right Triangle Area

     An isosceles right triangle is a special right triangle,...

   • Law of Sines

     This law of sines calculator is a handy tool for solving...

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   Does our right triangle side and angle calculator display missing sides and angles?

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   Right Triangle Calculator

   www.omnicalculator.com/math/right-triangle-side-angle

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   How do you find the angles of a right triangle?

   • Now, let's check how finding the angles of a right triangle works: Refresh the calculator. Pick the option you need. Assume that we have two sides, and we want to find all angles. The default option is the right one. Enter the side lengths. Our right triangle has a hypotenuse equal to 13 in and a leg a = 5 in. Missing side and angles appear.

   Right Triangle Calculator

   www.omnicalculator.com/math/right-triangle-side-angle

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   What is the 3rd angle in a triangle?

   • From this, we can calculate that the third angle in the triangle is 90°. In a triangle with angles 60,30,90, the sides are in the ratio √3a, a, and 2a. => Perimeter is sum of all sides = a (3+ √3)= 6 + 2√3 .

   A Complete Guide For Geometry Basics For CAT | IIM SKILLS

   iimskills.com/a-complete-guide-for-geometry-basics-for-cat/

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   How do you find a hypotenuse if a triangle has an angle?

   • If you have an angle and the side opposite to it, you can divide the side length by sin (θ) to get the hypotenuse. Alternatively, divide the length by tan (θ) to get the length of the side adjacent to the angle. How to find the missing side of a right triangle?

   Right Triangle Calculator

   www.omnicalculator.com/math/right-triangle-side-angle

   See all results for this question

4. www.geeksforgeeks.org › angle-relationshipsAngle Relationships - GeeksforGeeks

   www.geeksforgeeks.org › angle-relationships

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   4 days ago · The angle sum property states that the sum of the all angles in the triangle is always 180°. Example: In a triangle ABC if ∠A = 50°, ∠B = 60° then ∠C = 70° because 50° + 60° + 70° = 180°. Properties: This property applies to the all types of the triangles whether they are acute obtuse or right-angled.

5. Images

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6. www.careers360.com › maths › circumcircle-of-aCircumcircle of a Triangle - Overview, Structure, Properties ...

   www.careers360.com › maths › circumcircle-of-a

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   4 days ago · 2) The circumcentre of the obtuse-angled triangle lies outside the triangle. 3) The circumcentre of the right angle triangle is the mid-point of its hypotenuse. Solved Examples Based on Circumcircle

7. en.wikipedia.org › wiki › Sine_and_cosineSine and cosine - Wikipedia

   en.wikipedia.org › wiki › Sine_and_cosine

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   4 days ago · In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is ...

8. iimskills.com › a-complete-guide-for-geometryA Complete Guide For Geometry Basics For CAT - IIM SKILLS

   iimskills.com › a-complete-guide-for-geometry

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   4 days ago · Obtuse Angle Triangle In an obtuse-angled triangle, one of the angles is greater than 90 . There cannot exist two obtuse angles in one triangle as the sum of all angles is 180 .

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10. www.geeksforgeeks.org › congruence-of-trianglesCongruence of Triangles |SSS, SAS, ASA, and RHS Rules

    www.geeksforgeeks.org › congruence-of-triangles

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    4 days ago · RHS (Right angle-Hypotenuse-Side) congruency states that if the hypotenuse and one other side of a right-angled triangle are equal to the corresponding hypotenuse and side of another right-angled triangle, then the two triangles are congruent.

11. www.nagwa.com › en › explainersLesson Explainer: Ambiguous Case of the Law of Sines | Nagwa

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    4 days ago · Using the law of sines to find an unknown length can give rise to an ambiguous answer due to the possibility of two solutions (namely, when you are given two side lengths and a nonincluded, acute angle). If angle 𝐴 is acute and ℎ <𝑎 <𝑏, two possible triangles, 𝐴 𝐶 𝑀 and 𝐴 𝐶 𝐵, exist.