Question

The length of the base of a triangle is twice it’s height. If the area of the triangle is 441 square kilometers, find the height

Answer 1

Answer:

21 kilometers

Step-by-step explanation:

Let the height be $x$. Then, the length of the base is $2x$. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to $\frac{x \cdot 2x}{2} = x^2$, which is in turn equal to 441. Since $x$ must be positive, then $21^2=441$, meaning that the height is $21$ kilometers.