SOLUTION: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10m less than twice the other. Find the length of each leg.
Algebra.Com
Question 163544This question is from textbook
: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10m less than twice the other. Find the length of each leg.
This question is from textbook
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
25^2=(2x-10)^2+x^2
625=4x^2-40x+100+x^2
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105=0
5(x-15)(x+7)=0
x-15=0
x=15 fot the short leg
2*15-10=30-10=20 for the long leg
Proof:
25^2=20^2+15^2
625=400+225
625=625
RELATED QUESTIONS
The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than... (answered by checkley77)
The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than... (answered by richwmiller)
The hypotenuse of a right triangle is 75 m long. The length of one leg is 51 m less than... (answered by mananth)
the hypotenuse of a right triangle is 22m long the length of one leg is 10 m less than... (answered by unlockmath)
The hypotenuse of a right triangle is 25 km long the length of one leg is 17 km less than (answered by CubeyThePenguin)
The hypotenuse of a right triangle is 22 m long. The
length of one leg is 10 m less than (answered by mananth,nyc_function)
The hypotenuse of a right triangle is 22 m long. The length of one leg is 10 m less than... (answered by checkley77)
1) the area of a right triangle is 44m squared. find the lengths of its legs if one of... (answered by stanbon)
One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less... (answered by edjones)