SOLUTION: The base of a triangle is 6cm greater than the height. The areas is 20cm^2
Find the height and length of the base
height of triangle is ____ cm.
base of triangle is ____ c
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-> SOLUTION: The base of a triangle is 6cm greater than the height. The areas is 20cm^2
Find the height and length of the base
height of triangle is ____ cm.
base of triangle is ____ c
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Question 280570: The base of a triangle is 6cm greater than the height. The areas is 20cm^2
Find the height and length of the base
height of triangle is ____ cm.
base of triangle is ____ cm. Found 2 solutions by richwmiller, oberobic:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! Start with your variables...
A = area of a triangle = 1/2*base*height
h = height of the triangle
b = base of the triangle
b = h + 6 :: the base is 6 cm > height
A = 20 cm^2
.
Substitute what we know...
20 cm^2 = 1/2*b*h
20 = 1/2(h+6)*h
multiply both sides by 2
40 = (h+6)*h = h^2 + 6h
subtract 40 from both sides
0 = h^2 + 6h - 40
so
h^2 + 6h - 40 = 0
factor
(h+10)(h-4) = 0
which means our solutions are
h = -10
h = 4
of course negative height is nonsense
which means h = 4 is the solution to test
.
substituting what we know about the base
b = h+6 = 10
.
checking the area
1/2*4*10 = 20?
2* 10 = 20
Yes.
.
Answer:
The height of the triangle is 4 cm.
The base of the triangle is 10 cm.
.
Done
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