SOLUTION: The sum of the lengths of one side of a right triangle and teh hypotenuse is 32 centimeters. The other leg is 1 centimeter shorter than the hypotenuse. Find the length of each side

Question 354679: The sum of the lengths of one side of a right triangle and teh hypotenuse is 32 centimeters. The other leg is 1 centimeter shorter than the hypotenuse. Find the length of each side of the triangle. Thank you.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
let x be the length of the hypotenuse.
then the sides are (32 - x) and (x-1)
.
Applying the Pythagorean Theorem*
where c is the hypotenuse
.

.
grinding out and simplifying, we get

.
Using the quadratic formula

we get
x = 41 Cannot use
or x = 25
.
Sides are 7 and 24
.
check yur answer

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