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:

$A=\frac{1}{2}b\times h$

Rewrite the formula for h.

Multiply both sides by 2:

$\begin{gathered} 2A=\frac{1}{2}b\times h\times2 \\ \\ 2A=b\times h \end{gathered}$

Divide both sides by b:

$\begin{gathered} \frac{2A}{b}=\frac{b\times h}{b} \\ \\ \frac{2A}{b}=h \\ \\ h=\frac{2A}{b} \end{gathered}$$h=\frac{2A}{b}$

Where,

A = 16 ft²

b = 4 ft

Substitute values into the formula and evaluate.

We have:

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

Therefore, the value of h is 8 ft

ANSWER:

H = 8 ft