SOLUTION: The hypotenuse of a Right Triangle is 9 centemeters longer than one leg and 2 centimeters longer than the other. What is the length of the hypotenuse?

Question 76200This question is from textbook Algebra II
: The hypotenuse of a Right Triangle is 9 centemeters longer than one leg and 2 centimeters longer than the other. What is the length of the hypotenuse? This question is from textbook Algebra II

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=length of hypotenuse...so one leg is x-9 and the other is x-2

by Pythagoras ...expanding gives

rearranging and combining terms gives......factoring gives (x-17)(x-5)=0...so x=17 or x=5

since 5-9 gives a negative result, the length of the hypotenuse is 17 centimeters
RELATED QUESTIONS
The hypotenuse of a Right Triangle is 9 centemeters longer than one leg and 2 centimeters (answered by scott8148)

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 2 ft. longer than one leg and 4 ft. longer than the (answered by ikleyn)

one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2... (answered by mananth)

The hypotenuse of a right triangle is 60 cm. If one leg is five centimeters longer than... (answered by Nate)

The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the... (answered by Fombitz)

1. One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10... (answered by josmiceli,texttutoring,PRMath)

The hypotenuse of a right triangle is one meter longer than one leg and 3 meters longer... (answered by josgarithmetic)

Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters... (answered by ikleyn)