SOLUTION: The base of a triangle is 6 cm greater than the height. The area is 20 cm^2. Find the height and the length of the base.
The height is ____ cm.
The base is ______ cm.
Is t
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Question 124308: The base of a triangle is 6 cm greater than the height. The area is 20 cm^2. Find the height and the length of the base.
The height is ____ cm.
The base is ______ cm.
Is that enough information to help me?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Area of Triangle-(1/2)*Base*Height or A=(1/2)BH
Let h=height of triangle
Then h+6=base of triangle
Then Area=20cm^2=(1/2)(h)(h+6) simplify (multiply both sides by 2)
h^2+6h=40cm^2 subtract 40 from both sides
h^2+6h-40=0----------quadratic in standard form and it can be factored:
(h+10)(h-4)=0
h+10=0
h=-10--------------------disregard ----lengths are positive
and
h-4=0
h=4 cm------------------height of triangle
h+6=4+6=10cm----------------------base of triangle
CK
A=(1/2)BH
20=(1/2)*4*10
20=20
Hope this helps--ptaylor
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