Question

The length of the base of a triangle is twice its

height. If the area of the triangle is 256 square
kilometers, find the height.

Answer 1

16km

Explanation:

The area formula for a triangle is ...

A = (1/2)bh

We are told that b=2h, so this becomes ...

A = (1/2)(2h)(h) = h²

Substituting the given area, we can find h:

256 km² = h²

(√169) km = h = 16 km

Answer 2

½*b*h = area of ∆

½*2h*h = 256

h² = 256

therefore, h = √256

h = 16m.