SOLUTION: In a right angled triangle, the hypotenuse is 6 cm longer than the shortest side. The third side is the average of the other two. How can I know what the other two are?

Algebra ->  Triangles -> SOLUTION: In a right angled triangle, the hypotenuse is 6 cm longer than the shortest side. The third side is the average of the other two. How can I know what the other two are?      Log On


   

Question 975070: In a right angled triangle, the hypotenuse is 6 cm longer than the shortest side. The third side is the average of the other two. How can I know what the other two are?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In a right angled triangle, the hypotenuse is 6 cm longer than the shortest side. The third side is the average of the other two. How can I know what the other two are?
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c = hyp = a + 6
b = (a + a+6)/2 = a+3
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Not sure what you mean by the "other two"
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a%5E2+%2B+b%5E2+=+c%5E2
a%5E2+%2B+%28a%2B3%29%5E2+=+%28a%2B6%29%5E2
2a%5E2+%2B+6a+%2B+9+=+a%5E2+%2B+12a+%2B+36
a%5E2+-+6a+-+27+=+0
(a - 9)*(a + 3) = 0
a = 9 (Ignore a = -3)
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Sides are:
9, 12, 15