Question

A square painting has a diagonal of 44 in.

Answer 1

Answer: 31 in




Explain:

Answer 2

Answer:

A. 31 in

Step-by-step explanation:

Right angled triangle = c2 = a2 + b2

${44}^{2} = {x}^{2} + {y}^{2}$

The frame is a square, so the lengths of x and y are equal

$x = y \\ {44}^{2} = {x}^{2} + {x}^{2} \\ 1936 = 2 {x}^{2} \\ \frac{1936}{2} = {x}^{2} \\ 968 = {x}^{2} \\ \sqrt{968} = x \\ 31.04 = x$

X= 31 in