SOLUTION: what is the length of the shorter leg of a right triangle if the longer leg is 24 meters and the hypotenuse is 6 more than twice the shorter leg

Question 946035: what is the length of the shorter leg of a right triangle if the longer leg is 24 meters and the hypotenuse is 6 more than twice the shorter leg
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length of the shortest leg in meters.
Then,
= length of the hypotenuse in meters.
Applying the Pythagorean theorem,

Dividing both sides of the equal sign by 3, we get

Factoring , we get
--->
Since , the length of the shortest leg in meters, cannot be a negative number,
the length of the shorter leg is .

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