Asked by rob
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.
Answers
Answered by
MathGuru
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.
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.
Answered by
MathGuru
√128 = c^2 should read:
√128 = c
Sorry for any confusion
√128 = c
Sorry for any confusion
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