Question

The area of a triangle is 106 square feet. The base is twice the height. Find the height.

Answer 1

The height is
`√(106)` feet

Explanation:

First, lets assign and categorize the information given to us:

Area = 106
`ft^(2)`

b = 2h (Base is twice the height)

Next, lets look at the formula for the area of a triangle:

Area =
`(1)/(2) bh`

Then, lets substitute the given information and solve:

106 =
`(1)/(2)` * 2h * h
106 =
`h^(2)`

`√(106)` feet = h