Question 156797: The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base Found 2 solutions by nerdybill, jojo14344:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base
.
Remember that the area of any triangle is:
area = (1/2)hb
where
h is height
b is base
.
If we
Let b = base
then
Your problem gives:
height = b-2
area = 60 sq mm
.
Plugging it all into:
area = (1/2)hb
60 = (1/2)(b-2)b
120 = (b-2)b
120 = b^2 - 2b
0 = b^2 - 2b - 120
.
factoring:
0 = (b-12)(b+10)
b = {12, -10}
we can throw out the negative solution since it doesn't make sense for a "measurement".
.
Therefore,
base is 12 millimeters
You can put this solution on YOUR website! We know Sustituting when , height is 2mm less than the base ------------------------> working eqn , cross multiply --->
Solve by QUADRATIC, , , &
2 values: = BASE =, DON'T USE
In doubt? Go back working eqn:
Thank you,
Jojo
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