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Question:
1212It is given that Andrew is dealing with a right triangle, so the Pythagorean theorem can be used to relate the side lengths to the hypotenuse. Substitute each value into the equation to produce an expression for x:
, which can be expanded to
, and rewriting as a quadratic
, which can be solved using the quadratic formula to give
x = -12.08 and x = 7.08
Notice that only 7.08 is a valid answer because side lengths cannot be negative. Also notice that it is the perimeter of the triangle that the question asks for:
7.08 + 5 + 7.08 + 14 = 33.16 meters.
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