Question

A square is cut in half at a diagonal creating to equal right triangles.each right triangle has an area of 12.5 square units .what is the side length of the square?

Answer 1

`5`

Explanation:

Suppose the square has side `x`, and total area `A`

The two triangles are identical. We are given that the area of one triangle is `12.5`, so the total area, `A` (of both triangles) is:

`A=12.5 * 2 = 25`

The total area is also that of a square with side `x`, thus:

`A =x^2 => x^2 = 25 => x = 5`