Question

the area of a triangle is one half the base times the height. if the area of the triangle is 16 square inches and the bas is 8 inches, what is the height?

Answer 1

4 inches

Explanation:

Let b = base length

h = height

A = area

`A = (1)/(2)\cdot b \cdot h\\\\`

Multiply throughout by 2

`2 \cdot A = 2\cdot (1)/(2)\cdot bh\\\\2A = bh\\\\h = (2A)/(b)`

We are given A = 16 in² and b = 8 inches

So, h = 2(16)/8 = 32/8 = 4 inches

Check to see if this is correct

A = (1/2)(8)(4) = (4)(4) = 16