SOLUTION: The base and the height are in the ratio of 5:3 and the area is 43.2 m Square. Find the base and height of the triangle

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Question 1169859: The base and the height are in the ratio of 5:3 and the area is 43.2 m Square.
Find the base and height of the triangle
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The base and the height are in the ratio of 5:3
b%2Fh = 5%2F3
cross multiply
5h = 3b
h = 3%2F5b
h = .6b
and the area is 43.2 m Square.
1%2F2b*h = 43.2
multiply by 2, get rid of the fraction
b*h = 86.4
Replace h with .6b
b*.6b = 86.4
.6b^2 = 86.4
b^2 = 86.4/.6
b^2 = 144
b = sqrt%28144%29
b = 12 m is the base
Find the height
h = .6(12)
h = 7.2 m is the height
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:
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Check: 1%2F2*12*7.2 = 43.2

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Given that the base and the height are in the ratio of 5:3, start with

5x = base
3x = height

Then use the formula for the area of a triangle (one-half base times height) with the given area to solve for x.

%281%2F2%29%285x%29%283x%29+=+43.2
15x%5E2+=+86.4
x%5E2+=+86.4%2F15+=+5.76
x+=+2.4

ANSWERS:
base = 5x = 12m
height = 3x = 7.2m