Question

The diagonal of a square measures 8root2 cm. Find the perimeter of the square.

Answer 1

32 cm

Explanation:

Since this triangle (formed by construction) is a 45 45 90 triangle, this means that the ratio between one of the sides (a) and the hypotenuse (h) is h = a *
`√(2)`

This means that all of the sides are 8 since 8 *
`√(2)` is the diagonal. Multiply 8 by 4 to get your answer, 32 cm.