Question

Compute the area of a triangle with sides. 10 x 10 x 16 Area = ? square units

Answer 1

48 square units

Explanation:

Given that the sides of a triangle are 10,10 and 16.

The triangle with two equal is called and isosceles triangle.

The area of an isosceles triangle is = (b*h)/2

We have to calculate height now,

An isosceles triangle form two right triangles, each with hypothenous equal to 10.

Therfore, the base of one right triangle is 16/2 = 8

Using hypotheneous and base, we can calculate the height of the triangle

=> (10)^2 = h^2 + 8^2

=> 100 = h^2 + 64

=> h^2 = 100 - 64

=> h^2 = 36

=> sqrt(h^2) = sqrt(36)

=> h = 6

So the area is: (6*16)/2 = 48 square units