SOLUTION: Hypotenuse of right angle is 60 cm. if the leg is five cm longer than the other leg, what is lenght of the legs. I know the formula is c^2= a^2 + b^2 60^2= x^2 + (x+5)^2 60

Algebra.Com
Question 148741: Hypotenuse of right angle is 60 cm. if the leg is five cm longer than the other leg, what is lenght of the legs.
I know the formula is c^2= a^2 + b^2
60^2= x^2 + (x+5)^2
60^2= x^2 + x^2 +10x +25
3600= 2x^2 + 10x + 25
Now what are we solving 4 x?

Answer by oscargut(2103)   (Show Source): You can put this solution on YOUR website!
3600= 2x^2 + 10x + 25
then
2x^2+10x+25-3600=0
2x^2+10x-3575=0
=
=

then solutions are and
positive solution is
=39.85 (aprox)
So legs are 39.85 and 44.85 aprox

RELATED QUESTIONS

The hypotenuse of a right triangle is 60 cm. If one leg is five centimeters longer than... (answered by Nate)
One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What (answered by checkley77)
the shorter leg of a right triangle is 7cm less than the other leg. what is the length of (answered by mananth)
The hypotenuse of a right triangle is 13 cm. One leg of the triangle is 7cm longer than... (answered by stanbon)
In a right trangle, the hypotenuse is 8cm longer than the shorter leg. The longer leg... (answered by josgarithmetic)
The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the... (answered by solver91311)
The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the... (answered by harpazo)
The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is (answered by solver91311)
The hypotenuse of a right triangle is 4 cm longer than three times the length of the... (answered by flame8855)