SOLUTION: This is my math question but im not sure how to solve it. One leg of a right triangle is 6in. longer than the other leg, the hypotenuse of the triangle is 25in. What is the length
Algebra.Com
Question 553647: This is my math question but im not sure how to solve it. One leg of a right triangle is 6in. longer than the other leg, the hypotenuse of the triangle is 25in. What is the length of each leg to the nearest inch? Please help :)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let be the length (in inches) of the shorter leg.
Then, the length (in inches) of the other leg would be
Pythagoras' theorem, applied to that triangle, tells you that
-->
--> -->
Using the quadratic formula we find 2 values for
,
but we can only use the positive solution
= approximately .
Then, the other leg length is about .
So the leg lengths, to the nearest inch, are 14 inches and 20 inches.
RELATED QUESTIONS
I am trying to help my niece with her college math homework. But this one has got the... (answered by jim_thompson5910,reviewermath,stanbon)
ok here is my problem me and my friend michael have the whole problem solved, we would... (answered by stanbon)
The hypotenuse of a right triangle is 8 ft. longer than one leg and 4 ft. longer than the (answered by Earlsdon)
The length of one leg of a right triangle is 24 ft. The length of the other leg is 16... (answered by funmath)
the hypotenuse of a right triangle is 2 ft. longer than one leg and 4 ft. longer than the (answered by ikleyn)
The hypotenuse of a right triangle is one meter longer than one leg and 3 meters longer... (answered by josgarithmetic)
Hello, Im having problems with setting this up correctly.
Hassan is designing a garden (answered by mananth,richwmiller,stanbon)
can someone solve this question for me please?
the lenghth of one leg of a right... (answered by nerdybill)
One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is... (answered by friesr)