SOLUTION: A square has diagonals of length 8 cm. Find the length of its sides.

Question 95850: A square has diagonals of length 8 cm. Find the length of its sides.
Found 2 solutions by checkley71, edjones:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE DIAGONAL OF A SQUARE=8
THUS YOU HAVE A RIGHT TRIANGLE WITH 2 EQUAL SIDES & A HYPOTENUSE OF 8
X^2+X^2=8^2
2X^2=64
X^2=32
X=SQRT32
X=5.658542 CM. LENGTH OF THE SIDES.
PROOF
5.658542^2+5.658542^2=8*2
32+32=64
64=64
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
This type question is frequently on SAT tests.
We have an isoscles right trangle with a hypotenuse of 8.
it is similar to a triangle with sides of 1 and 1 and a hypotenuse of
we can solve the problem without using the pythagorean theorum by setting up a ratio.
Answer

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