Question

A rectangle with sides 11 cm and 15 cm has the same diagonal as a square.

What is the length of the side of the square.
Give your answer as a surd.

Answer 1

`\sqrt 113`

Step-by-step explanation:

Answer 2

the answer is √173

Step-by-step explanation:

let the diagonal = X

by using Pythagoras’s theorem

X² = 11² + 15²
X² = 346

let the side length of square is L
X² = L² + L²
346 = 2 L²
L² = 173
L = √173