SOLUTION: The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent.
Algebra ->
Triangles
-> SOLUTION: The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent.
Log On
Question 672801: The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent.
--------
Area = (1/2)(base)(height)
-----
To keep the same Area,
A = (1/2)(0.8 base)((1/0.8)height)
-----
1/0.8 = 10/8 = 5/4 = 1.25 = 125%
=====================================
Increase the height by 25%
=====================================
Cheers,
Stan H.
(