SOLUTION: Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg and 2 centimeters longer than the longer leg
Algebra ->
Pythagorean-theorem
-> SOLUTION: Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg and 2 centimeters longer than the longer leg
Log On
Question 1030392: Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg and 2 centimeters longer than the longer leg Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
Find the lengths of the sides of a right triangle if the hypotenuse is 9 centimeters longer than the shorter leg
and 2 centimeters longer than the longer leg
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Pythagorean equation is
= .
Solve it and get the answer.
= ,
= ,
(x-17)*(x-5) = 0,
x = 17 is the only root satisfying the condition.
Answer. Hypotenuse is 17 cm, the legs are 8 cm and 15 cm.
