Question

Area of a triangle = 16ft²B = 4ftH = ?

Answer 1

Given:

Area of a triangle, A = 16 ft²

Base of the triangle, b = 4 ft

Height of the triangle, h, is unknown.

To find the height of the triangle, h, apply the formula below:

`A=(1)/(2)b* h`

Rewrite the formula for h.

Multiply both sides by 2:

`\begin{gathered} 2A=(1)/(2)b* h*2 \\ \\ 2A=b* h \end{gathered}`

Divide both sides by b:

`\begin{gathered} (2A)/(b)=(b* h)/(b) \\ \\ (2A)/(b)=h \\ \\ h=(2A)/(b) \end{gathered}`
`h=(2A)/(b)`

Where,

A = 16 ft²

b = 4 ft

Substitute values into the formula and evaluate.

We have:

`\begin{gathered} h=(2A)/(b) \\ \\ h=(2(16))/(4) \\ \\ h=(32)/(4) \\ \\ h=8\text{ ft} \end{gathered}`

Therefore, the value of h is 8 ft

ANSWER:

H = 8 ft