SOLUTION: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the t
Algebra.Com
Question 609396: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the three legs of the triangle
Answer by flame8855(424) (Show Source): You can put this solution on YOUR website!
h= 4+3x
y=h-1=4+3x-1=3+3x
(4+3x)^2=x^2 +(3+3x)^2
16+9x^2+24x=x^2+ 9+9x^2+18x
x^2-6x-7=0
(x+1)(x-7)=0
x= 7
h=25
y=24
RELATED QUESTIONS
The longer leg of a right triangle is 4 cm more than four times the length of the shorter (answered by nerdybill)
the longer leg of a right triangle is 2 cm less than twice the shorter leg. the... (answered by stanbon)
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 1 cm longer than the longer leg. The shorter leg is (answered by solver91311)
The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is (answered by mananth)
One leg of a right triangle is 7 cm longer than the other leg. The hypotenuse is 1 cm... (answered by ankor@dixie-net.com)
One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What (answered by checkley77)
one leg of a right triangle is 2 cm longer than the other leg, hypotenuse is 7 cm longer... (answered by josgarithmetic,math_tutor2020)