SOLUTION: Two legs of a right triangle are x and x+7. If the hypotenuse is 13, then find x.

Algebra.Com
Question 505766: Two legs of a right triangle are x and x+7. If the hypotenuse is 13, then find x.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use Pythagoras.





Collect like terms, put the equation into standard quadratic form, and solve.

Remember to discard any negative root since you are solving for a positive measure of length.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

one leg of a right triangle is 7 units longer than the length of the other leg if the... (answered by rajagopalan)
If the two legs of a right triangle are 30 and 40, then the hypotenuse... (answered by MathLover1,checkley71)
if the hypotenuse of a right triangle is seven and one of the legs is the square root of... (answered by unlockmath)
If the the hypotenuse of a right triangle is 13 then what are it's... (answered by Mathtut)
If the two legs of a right triangle are x + 2 adn x + 6 and they hypotenuse is 2x, what... (answered by ewatrrr)
the legs of a right triangle are (x) and (x+2). The hypotenuse is (x+4). Find the length... (answered by ramkikk66)
The legs of a right triangle are represented by x and x+2, and the hypotenuse is 10. Find (answered by dabanfield)
The diagram shows an isosceles right triangle. The two legs are "x," and the hypotenuse... (answered by ankor@dixie-net.com)
in a right triangle the measure of the legs are 16 and x+10 and the measure of the... (answered by JulietG)