SOLUTION: the base and height of the triangle are in the ratio 5:3 . if the area of the triangle is 67.5 square metre; find its base and height.

Algebra ->  Triangles -> SOLUTION: the base and height of the triangle are in the ratio 5:3 . if the area of the triangle is 67.5 square metre; find its base and height.      Log On


   



Question 519614: the base and height of the triangle are in the ratio 5:3 . if the area of the triangle is 67.5 square metre; find its base and height.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the area of a triangle:
A+=+%281%2F2%29b%2Ah Substitute: b+=+5x, h+=+3x, and A+=+67.5
67.5+=+%281%2F2%29%285x%29%283x%29 Simplify.
67.5+=+7.5x%5E2 Divide by 7.5
9+=+x%5E2 Take the square root.
x+=+3 Discard the negative solution of -3
b+=+5x
b+=+15
h+=+3x
h+=+9