Posted by **Florence** on Monday, December 26, 2011 at 6:04am.

If the base side of a triangle is (x+4) and the height is (x+1), what is x if the area is 20cm3?

Please demonstrate how you reached the answer. Thanks.

- Maths -
**Reiny**, Monday, December 26, 2011 at 8:05am
Area of a triangle = (1/2) (base)(height)

20 = (1/2)(x+4)(x+1)

40 = x^2 + 5x + 4

x^2 + 5x - 36 = 0

(x+9)(x-4) = 0

x = 4 or x = -9, the latter is silly in this context.

check:

if x=4, base is 8 and height is 5

what is (1/2)(8)(5) ?

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