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December 20, 2014

December 20, 2014

Posted by **Bethany** on Tuesday, February 8, 2011 at 12:47am.

- Math -
**drwls**, Tuesday, February 8, 2011 at 1:31amLet the lengths of the legs be a, b and c in increasing order. c is the hypotenuse.

b = a + 5

c = a + 10

c^2 = a^2 + b^2

Three equations in three unknowns. See what you can do with that.

c^2 = a^2 + a^2 + 10a + 25

= 2a^2 + 10a + 25

c^2 = a^2 + 20a + 100

Set the two last equations for c^2 equal to each other and solve for a.

a^2 -10a -75 = 0

(a-15)(a+5) = 0

Only the positive root is allowed.

a = 15

b = 20

c = 25

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