SOLUTION: " How do you solve a triangles height and base when you are only given the area, such as this-" A triangle has an area of 338, if the height of the triangle is 4 times its base, w

Algebra ->  Triangles -> SOLUTION: " How do you solve a triangles height and base when you are only given the area, such as this-" A triangle has an area of 338, if the height of the triangle is 4 times its base, w      Log On


   

Question 502224: " How do you solve a triangles height and base when you are only given the area, such as this-" A triangle has an area of 338, if the height of the triangle is 4 times its base, what is the height and base?"
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
A+=+%281%2F2%29b%2Ah for the area of a triangle. A is given as 338.
h+=+4b now you can write the equation.
%281%2F2%29b%2Ah+=+338 Substitute h+=+4b
%281%2F2%29%28b%284b%29%29+=+338 Simplify the left side.
2b%5E2+=+338 Divide both sides by 2.
b%5E2+=+169 Take the square root of both sides.
b+=+13 and...
h+=+4b
h+=+4%2813%29
h+=+52
The base is 13 and the height is 52.