SOLUTION: the hypotenuse of a right triangle is 24 ft long. the length of one leg is 6 feet more than the other. find the length of the legs.
Algebra.Com
Question 739103: the hypotenuse of a right triangle is 24 ft long. the length of one leg is 6 feet more than the other. find the length of the legs.
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
c=24
Clearly the side we know the least about is the shortest so...
a=x
the length of one leg is 6 feet more than the other means...
b=x+6
So our equation is:
so here we go...
divide by 2...
but this quadratic cannot be factored - so we use the quadratic formula
From which the negative solution can be discarded (why?)
therefore...
and so...
{{a=3sqrt(31)-3}}}
{{b=3sqrt(31)+3}}}
RELATED QUESTIONS
the hypotenuse of a right triangle is 24 ft long. The length of one leg is 22 ft. more... (answered by Alan3354)
The hypotenuse of a right triangle is 24 ft. long. The length of one leg is
22
ft.... (answered by josgarithmetic)
the hypotenuse of a right triangle is 24 feet long. the lenght of one leg is 14 feet more (answered by stanbon,Edwin McCravy)
The hypotenuse of a right triangle is 39 ft long. The length of one leg is 21 ft more... (answered by Boreal,rfer)
the hypotenuse of right triangle is 24 ft long.the length of one leg is 18 ft more than... (answered by Fombitz)
One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1... (answered by edjones)
The length of one leg of a right triangle is 88 ft. The length of the hypotenuse is 44... (answered by ikleyn)
The length of one leg of a right triangle is 8 ft. The length of the hypotenuse is 4 feet (answered by ikleyn)
The hypotenuse of a right triangle is 7 ft long. One leg is 1.4ft longer than the other... (answered by josgarithmetic,ikleyn)