Question

Find the side of a square whose diagonal is of the given measure. Given = 15√2 cm.

Answer 1

do you have a picture?

well if you have a square and a diagonal spiting the square into two triangles

that means that we can use 45 45 90 triangle and know that the sides will be

each side = 15

Answer 2

Answer with explanation:

Length of diagonal of Square =15√2 cm-------------(1)

Let side of Square = a cm

So, Length of Diagonal

By Using Pythagorean Theorem

`=√(a^2+a^2)\\\\=a√(2)`

--------------------------------(2)

Equating (1) and (2)

`a√(2)=15 √(2)\\\\ \text{Cancelling root 2 from both sides}\\\\a=15`

Side of Square= 15 cm