SOLUTION: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to ensure that the hypotenuse is at least 13cm?

Algebra.Com
Question 1168238: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to ensure that the hypotenuse is at least 13cm?
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

Let x be the shorter leg. Then:




Eventually this simplfies to:



which has the positive solution

RELATED QUESTIONS

One leg of a right triangle is 7cm shorter than the other leg. How long should be the... (answered by Cromlix)
One leg of a right triangle is 7cm shorter than the other leg. How long should the... (answered by MathLover1)
the hypotenuse of a right triangle is 13 cm long. The shorter leg is 7cm shorter than... (answered by ikleyn)
One leg of a right triangle is 7cm shorter than the other leg. It's area is 30cm^2. Find... (answered by ewatrrr)
one leg of a triangle is three times bigger than the other leg , the hypotenuse is 12... (answered by stanbon)
the shorter leg of a right triangle is 7cm less than the other leg. what is the length of (answered by mananth)
a piece of wire is bent into a right triangle the longer leg is 1 less than twice than... (answered by josgarithmetic)
one leg of a right triangle is 6cm shorter than the other leg. the length of the... (answered by stanbon)
the hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is (answered by richwmiller)