The perimeterof a square is 32 inches. Find the lenght of its diagonal. the answers should be in simplest form. make a sketch and show work.

Answer 1

Each side of the square is equal to 8 inches (32/4 = 8).

The diagonal through the square will form 2 right triangles.

Use the Pythagorean Theorem to solve for the length of the diagonal.

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

√128 = c^2

11.3137 is the approximate value of c.

I hope this helps.

Answer 2

√128 = c^2 should read:

√128 = c

Sorry for any confusion