SOLUTION: One leg of a right triangle is 7cm shorter than the other leg. It's area is 30cm^2. Find its perimeter.

Question 636302: One leg of a right triangle is 7cm shorter than the other leg. It's area is 30cm^2. Find its perimeter.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

Note: 

One leg of a right triangle is 7cm shorter than the other leg.

Question states*** area is 30cm^2

        || 

      60 = x(x - 7)

    x^2 - 7x - 60 = 0

   (x - 12)(x + 5) = 0   || Tossing out negative solution for unit measure

      x = 12cm   and y = 5cm

Applying the Pythagorean Theorem: 

P = 12cm + 5cm + 13cm = 30cm 

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