Question

The area of a triangular price of stained glass is 50 square centimeters. If huge height of the triangle is four times the base, how long are the height and the base of stained glass

Answer 1

We can use the formula for the area of a triangle to solve for these dimensions.

The formula for the area of a triangle is $A=\frac{1}2bh$.

We know that the area of the triangle is 50, so here's our new equation: $50=\frac{1}2bh$

How can we solve for $b$ and $h$?

Well, we know how to solve equations with one variable.
And since the height is four times the base, we can replace $h$ with $4b$ and solve for b!

$50=\frac{1}2b(4b)\\\\50=\frac{1}2(4b^2)\\\\ 50=2b^2 \\\\ 25=b^2 \\\\ \boxed{b=5\ ft}$

And of course, since the height is four times that, $\boxed{h=20\ ft}$