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

Mathematics

1 answer:

Sonja [21]3 years ago

5 0

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.

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