SOLUTION: The hypotenuse of a right triangle is 13cm. The sum of the lengths of the two other sides is 17cm. Find the unknown lengths.
Algebra.Com
Question 199215: The hypotenuse of a right triangle is 13cm. The sum of the lengths of the two other sides is 17cm. Find the unknown lengths.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The hypotenuse of a right triangle is 13cm.
The sum of the lengths of the two other sides is 17cm.
Find the unknown lengths.
:
Let x = length of one side
then
(17-x) = length of the other side
;
Using pythag
x^2 + (17-x)^2 = 13^2
FOIL
x^2 + (289 - 34x + x^2) = 169
Which is
2x^2 - 34x + 289 - 169 = 0
:
2x^2 - 34x + 120 = 0
Simplify, divide by 2
x^2 - 17x + 60 = 0
Factor
(x-12)(x-5) = 0
x = 12, the other side is 5
or
x = 5, the other side is 12
RELATED QUESTIONS
The hypotenuse of a right triangle has a length of 13 cm. the sum of the lengths of the... (answered by Fombitz)
Hypotenuse of a right triangle is 13 cm.
Sum of the two other sides is 17 cm.
Find the... (answered by ewatrrr)
One leg of a right triangle is 4cm shorter thatn the other leg. The length of the... (answered by wuwei96815)
The perimeter of a right angled triangle is 30 cm and hypotenuse is 13cm. find the length (answered by Alan3354)
The hypotenuse of a right triangle has length 20cm. The sum of the lengths of the other... (answered by Edwin McCravy)
The hypotenuse of a right triangle measures 10 cm. one of the other two sides is 2 m... (answered by richwmiller)
The hypotenuse of a right triangle has a length of 20 cm. the sum of the lengths of the... (answered by richwmiller)
The hypotenuse of a right triangle is 26cm the sum of the other two sides is 34cm find... (answered by MathLover1)
The hypotenuse of a right triangle is the square root of 13cm. One leg is 1 cm shorter... (answered by mananth)