SOLUTION: The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorte

Algebra.Com
Question 1088562: The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft
more than twice the length of the shorter leg. Find the side lengths of the triangle.
Find the length of the shorter side
Find the length of the longer side
Find the length of the hypotenuse
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x, the length of the shorter leg.

Longer leg, ;
Hypotenuse, ;

, use of Pythagorean Theorem (right-triangle)
-





-
Either x=2 or x=10


----------------
2, 8, 10
OR
10, 24, 26
----------------
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
The solution by  @josgarithmetic  is  WRONG.  Below find the correct solution. 

x, the length of the shorter leg.


Longer leg, ;
Hypotenuse, ;


 = , use of Pythagorean Theorem (right-triangle)

-

 = 

 = 

 = 



-

The only positive solution is x=10


Shorter leg = 10 ft.

Longer  leg = 24 ft.

Hypotenuse  = 26 ft.


Check:  10^2 + 24^2 = 676 = 26^2.   Correct.


RELATED QUESTIONS

The hypotenuse of a right triangle is 20 ft. If the larger leg is 4ft more than the... (answered by tommyt3rd)
The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the... (answered by Mathtut)
The length of the longer leg of a right triangle is 4 ft more than twice the length of... (answered by math_tutor2020)
The length of the longer leg of a right triangle is 4 ft more than twice the length of... (answered by greenestamps,josgarithmetic)
In a right triangle, the longer leg is 7 inches more than the shorter leg, and the... (answered by josgarithmetic)
The longer leg of a right triangle is 4ft longer than the shorter leg. The hypotenuse is... (answered by josgarithmetic)
solve: the length of the hypotenuse of a right triangle is 3m more than twice the length... (answered by Fombitz)
Find the length of the shorter leg of a right triangle if the longer leg is 6 feet more... (answered by edjones)
find the length of the shorter leg of a right triangle if the longer leg is 10 miles more (answered by richwmiller)