SOLUTION: The base of a triangle is 3cm longer than it's corresponding height. If the area is 44cm^2, find the length of it's base

Question 927524: The base of a triangle is 3cm longer than it's corresponding height. If the area is 44cm^2, find the length of it's base

Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:
the base of a triangle is longer than it's corresponding height
the area is

if , then

...we need only positive solution

now, find the base:

=> the length of it's base

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
.
A = (1/2)bh
(1/2)(h+3)h = 44 cm^2
(h+3)h = 88
h^2 + 3h - 88 = 0 (tossing out negative solution for unit measure)
(h + 11)(h - 8)= 0
h = 8cm and Base = 11cm
And ...checking
(1/2)(8cm)(11cm) = 44cm^2

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