The base of the triangle is twice its height. The area is 25. What is the base and height?

Question

I'm Stevie's sister and need help helping him lol

Answer 1

Hi Stevie, let x represent the height of the triangle. Then the base of triangle will be 2x.

 

Equation:

 

a(rea) = 1/2 * b(ase) * h(eight)

 

Substitute:

 

25 = 1/2 * 2x * x

 

25 = x²

 

x = ±5

 

We can discard the negative response since a triangle cannot have a negative length leg.

 

The height of the triangle is 5 units.

 

The base of the triangle is 2 * 5, or 10 units.

 

Questions?