SOLUTION: A right angled triangle has area of 49 cm square. The base is (n+6 cm) and the high is 7 cm less than the base. What is n?

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Question 859771: A right angled triangle has area of 49 cm square. The base is (n+6 cm) and the high is 7 cm less than the base. What is n?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A = %281%2F2%29bh+=++%281%2F2%29+%28n%2B6%29%28n-1%29+=+49

    (n+6)(n-1) = 98

   n^2 +5n - 6 = 98

   n^2 +5n -104 = 0   tossing out negative solution for unit measure

   (n +13)(x-8) = 0   Factor

         n = 8

0r

   n^2 +5n -104 = 0 

n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

    n+=+%28-b+%2B-+sqrt%28+441+%29%29%2F%282%2Aa%29+

     n+=+%28-5%2B-+21%29%2F%282%29+  tossing out negative solution for unit measure

               n = 16/2 = 8