SOLUTION: The side of a square is four times as long as the base of the triangle. If the areas of the triangle and square are equal, determine the ratio of the height of the triangle to the
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Question 607558: The side of a square is four times as long as the base of the triangle. If the areas of the triangle and square are equal, determine the ratio of the height of the triangle to the side of the square. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The side of a square is four times as long as the base of the triangle.
If the areas of the triangle and square are equal, determine the ratio of the height of the triangle to the side of the square.
:
Let x = the base of the triangle
then
4x = the side of the square
:
Let h = height of the triangle
:
triangle area = square area
.5*x*h = (4x)^2
.5*x*h = 16x^2
h =
cancel .5x into 16x^2
h = 32x
:
"determine the ratio of the height of the triangle to the side of the square."
replace h with 32x = 8:1
