SOLUTION: The perimeter of a right triangle is 18. If the hypotenuse is 8, how many square units are in the area of the triangle? I know the formula for the area and the perimeter but don't

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Question 181568: The perimeter of a right triangle is 18. If the hypotenuse is 8, how many square units are in the area of the triangle? I know the formula for the area and the perimeter but don't know how to solve for this question with only knowing the hypotenuse.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Call the legs and and the
hypotenuse
given:


so,



Now I can say the sides are
, , and
The pythagorean theorem is














and



These 2 values for turn out to be the legs of the
right triangle, since


and




The area is:


answer
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