SOLUTION: a triangle is 10cm wider that it is tall, the area is 28cm squared. find the height and base

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Question 266645: a triangle is 10cm wider that it is tall, the area is 28cm squared. find the height and base
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let the height = h.
base = h + 10
area = 28
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The area of a triangle has the formula
A+=+%281%2F2%29bh
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from the given information, we get
28+=+%281%2F2%29%2A%28h%29%2A%28h%2B10%29
multiply both sides by 2 to get
56+=+h%28h%2B10%29
distribute to get
56+=+h%5E2+%2B+10h
set = 0 to get
0+=+h%5E2+%2B+10h+-+56
factor to get
0+=+%28h%2B14%29%28h-4%29
solving we get
h = -14
and
h = 4
we can't use the -14, so our only answer is
h = 4 cm