SOLUTION: The length of the longer leg of a right triangle is
6m more than twice the length of the shorter leg. The length of the hypotenuse is 9m more than twice the length of the shorter
Algebra.Com
Question 987219: The length of the longer leg of a right triangle is
6m more than twice the length of the shorter leg. The length of the hypotenuse is 9m more than twice the length of the shorter leg. Find the side lengths of the triangle. Thank you
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sides are 
, 
, and 
. Plug these expressions into the Pythagorean Theorem and solve for . Then calculate and .
^2\ =\ (2x\ +\ 6)^2\ +\ x^2)
Note that any negative value for would be absurd; exclude any negative root.
John
My calculator said it, I believe it, that settles it
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The length of the longer leg of a right triangle is
6m more than twice the length of the shorter leg. The length of the hypotenuse is 9m more than twice the length of the shorter leg. Find the side lengths of the triangle. Thank you
-------
shorter leg: x
longer leg:: 2x+6
hypot:: 2x+9
-----------------------
Equation:
(2x+9)^2 = x^2 + (2x+6)^2
------
4x^2 + 36x + 81 = x^2 + 4x^2 + 24x + 36
-------
x^2 -12x - 45 = 0
------
x = 15
----
Ans:
shorter leg = 15
longer leg = 36
----------
Cheers,
Stan H.
---------------
RELATED QUESTIONS
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)
a lot is in the shape of a right triangle. The hypotenuse is 3m longer than the longer... (answered by checkley77)
The length of the longer leg of a right triangle is
4m
more than twice the length of... (answered by fractalier,addingup)
The shorter leg of a right triangle is 6m shorter than the longer leg. The hypotenuse is... (answered by jorel1380,ikleyn)
The shorter leg of a right triangle is 6m shorter than the longer leg. The hypotenuse is... (answered by ikleyn)
solve: the length of the hypotenuse of a right triangle is 3m more than twice the length... (answered by Fombitz)