SOLUTION: One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What is the length of the two legs?
Algebra.Com
Question 300414: One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What is the length of the two legs?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x^2+(x+3)^2=15^2
x^2+x^2+6x+9=225
2x^2+6x+9-225=0
2x^2+6x-216=0
2(x^2+3x-108)=0
2(x+12)(x-9)=0
x-9=0
x=9 ans. for the short side.
9+3=12 ans. for the longer side.
Proof:
9*2+12^2=15^2
81+144=225
225=225
RELATED QUESTIONS
The hypotenuse of a right triangle is 60 cm. If one leg is five centimeters longer than... (answered by Nate)
The hypotenuse of a right triangle is 13 cm. One leg of the triangle is 7cm longer than... (answered by stanbon)
The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the... (answered by harpazo)
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 2 cm longer than one leg, The other leg has length... (answered by ikleyn)
The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the... (answered by Fombitz)
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 4 cm longer than three times the length of the... (answered by flame8855)
Please help me with my problem. One leg of a right triangle is 6 cm shorter than the... (answered by stanbon)