Calculate the area of a triangle if it has length of legs as 6cmm, 8cm and 10cm.

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lemjay's profile pic

lemjay | High School Teacher | (Level 2) Senior Educator

Posted on

Since the length of the three sides of the triangle are given, to determine its area, apply Heron's formula.


where a, b and c are the sides of the triangle, and s is half of its perimeter.





Hence, the area of the triangle is `24 cm^2` .

jeew-m's profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

Here we must look at the length closely. We can find that they are combined in the following manner.

`6^2+8^2 = 10^2`

This means the triangle is a right triangle.

The area of the right triangle is given by;

A = 1/2(product of leg length except hypotenuse)


So the area of the triangle can be given as;

`A = 1/2xx6xx8`

`A = 24cm^2`


So the area of the triangle given is `24cm^2` .


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