SOLUTION: if the hypotenuse of a right triangle is 1 meter more then then longer leg, and the shorter leg is 5 meters long, find the length of the longer leg

Question 865621: if the hypotenuse of a right triangle is 1 meter more then then longer leg, and the shorter leg is 5 meters long, find the length of the longer leg

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Applying the Pythagorean Theorem

x^2 + 5^2 = (x+1)^2

x^2 + 5^2 = x^2 + 2x + 1

       24 = 2x

       12 = x, the length of the longer leg 

RELATED QUESTIONS

The shorter leg of a right triangle is 5 meters. The hypotenuse is 1 meter longer than... (answered by amarjeeth123)
The shorter leg of a right triangle is 9 meters. The hypotenuse is 1 meter longer than... (answered by Alan3354)
A lot is in the shape of a right triangle. The longer leg measures 1 meter more than the... (answered by ewatrrr)
The longer leg of a right triangle is 1M longer then the shorter leg. The hypotenuse is 1  (answered by robertb)
A lot is in the shape of a right triangle. The shorter leg measures 180 meters. the... (answered by JulietG)
The length of own leg of a right triangle is 12 Meters. The length of the hypotenuse is 6  (answered by ewatrrr)
The hypotenuse of a right triangle is 5 inches long. The shorter leg is 1 inch shorter... (answered by rfer)
 The hypotenuse of a right triangle is 5 inches long. The longer leg is 1 inch longer... (answered by ikleyn)
The hypotenuse of a right triangle is one meter longer than one leg and 3 meters longer... (answered by josgarithmetic)