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The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h. This formula is applicable to all types of triangles, whether it is a scalene triangle, an isosceles triangle, or an equilateral triangle.
The area of the rectangle is b h = 4 × 5 = 20 square units, so the area of the triangle is 1 2 b h = 1 2 × 4 × 5 = 10 square units. Key intuition: A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Apr 13, 2024 · To calculate the area of a triangle, start by measuring 1 side of the triangle to get the triangle's base. Then, measure the height of the triangle by measuring from the center of the base to the point directly across from it.
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Area of a Triangle Formula. The area of a triangle [latex]A[/latex] is half the product of its base [latex]b[/latex] and its height [latex]h[/latex]. The height of a triangle is also known as the altitude. This formula works only if the base is perpendicular to the height.
To find the area of a triangle, use the following formula. Table of contents. top. Choosing Base. Derivation. Practice Problems. Area of a Triangle Worksheet. Area of Triangle Applet. Area of a Triangle Calculator. Find Height From Area. The area of a triangle is always half the product of the height and base.
In geometry, Heron's formula states that the area of a triangle whose sides have lengths \(a\), \(b\), and \(c\) is \[A = \sqrt{s(s-a)(s-b)(s-c),}\] where \(s\) is the semiperimeter of the triangle, that is, \[s = \frac{a+b+c}{2}.\] Heron's formula can also be written as
The area of a triangle is found by multiplying one half of the base by the height. In our example, the base is 18 and the height is 6. So, half of 18 is 9, and 9 times 6 equals 54 square units. Questions. Tips & Thanks. Want to join the conversation? Log in. Sort by: Top Voted. Paarth Bamb. 6 years ago.
