Question

A square has a diagonal that is 26 feet long. What is the perimeter of this square?

Answer 1

answer:

52$\sqrt{2}$

step-by-step explanation:

• we can use the 45-45-90 triangle theorem for this: x, x, x$\sqrt{2}$

this is because this is a square

• squares have two sides of the same length, and the diagonal is different
• the x's stand for the sides, whereas the x$\sqrt{2}$ stands for the diagonal

x$\sqrt{2}$ = 26

x = 13$\sqrt{2}$

• now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 4

13$\sqrt{2}$ X 4 = 52$\sqrt{2}$