SOLUTION: Use the Pythagorean Theorem to find the lengths of the sides of the triangle. a=x+3 b=x c=15

Question 1043445: Use the Pythagorean Theorem to find the lengths of the sides of the triangle.
a=x+3
b=x
c=15
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Use the Pythagorean Theorem to find the lengths of the sides of the triangle.
a=x+3
b=x
c=15
~~~~~~~~~~~~~

 =   --->   =   --->

 =   --->   =   --->

 = 

Solve this quadratic equation. The roots are  x = 9  and/or  x = -12.

Reject the negative root. Hence, only x = 9 is the solution.

The legs are 9 and 12.

It is (3-4-5) Pythagorean triangle 9, 12, 15.

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