SOLUTION: The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg?
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Question 428894: The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg? Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! If one leg of a right triangle is three times the other, let X be the length of the short leg. Then the long leg is 3X. In this case:
a^2+b^2=c^2
X^2+(3X)^2 = 10^2
X^2+9X^2 = 100
10X^2 = 100
X^2 = 10
X = sq.rt.(10)
3X = 3 sq.rt.(10)
