SOLUTION: The shortest leg of a triangle is 17 centimeters shorter than the other leg. The hypotenuse of this triangle is 25 centimeters. What are the lengths of the two legs of this triangl

Algebra.Com
Question 1187325: The shortest leg of a triangle is 17 centimeters shorter than the other leg. The hypotenuse of this triangle is 25 centimeters. What are the lengths of the two legs of this triangle?

The shortest leg is centimeters long.

The other leg is centimeters long.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

To find the shorter leg, write and solve this Pythagorean equation


     x^2 + (x+17)^2 = 25^2.


The length of the longer leg is (x+17) cm then.


RELATED QUESTIONS

The shortest leg of a triangle is 17 inches shorter than the other leg. The hypotenuse of (answered by Fombitz)
The shortest leg of a triangle is 7 centimeters shorter than the other leg. The... (answered by Edwin McCravy)
The shortest leg of a triangle is 7 feet shorter than the other leg. The hypotenuse of... (answered by josgarithmetic)
The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of... (answered by Tatiana_Stebko)
The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of... (answered by ikleyn)
One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is... (answered by friesr)
The hypotenuse of a right triangle is 4 cm longer than three times the length of the... (answered by flame8855)
one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2... (answered by mananth)
One leg of a right triangle is 7cm shorter than the other leg. How long should be the... (answered by Cromlix)