SOLUTION: If the second side of a right triangle measures 2 more than twice the first, the third side measures 3 times the first, and the perimeter is 38, what is the measurement of the firs

Algebra ->  Triangles -> SOLUTION: If the second side of a right triangle measures 2 more than twice the first, the third side measures 3 times the first, and the perimeter is 38, what is the measurement of the firs      Log On


   

Question 850009: If the second side of a right triangle measures 2 more than twice the first, the third side measures 3 times the first, and the perimeter is 38, what is the measurement of the first side of the triangle?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sides are these:
x
y
z.
y=2%2B2x;
z=3x;
x%2B2%2B2x%2B3x=38.

The perimeter equation is ready for solving for x, the requested "first side" of the triangle.
6x%2B2=38
6x=36
highlight%28x=6%29

IS THIS A RIGHT TRIANGLE AS DESCRIBED?
x=6; y=2+2*6=14; z=3*6=18.
Test in Pythagorean Theorem:
6%5E2%2B14%5E2=18%5E2
36%2B196=324
232=324 FALSE!!!!
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This cannot be a right triangle. A triangle, yes; but NOT a right triangle.