Q. 5 - Precalculus Enhanced with Graphing Utilities

Question

The area of a triangle whose base is $b$ and whose altitude is $h$ is $A=$ _________.

Step-by-Step Solution

Answer

The area of the triangle is $A=\frac{1}{2}bh$.

Step 1. Given information.

It is given that,

Base of the triangle$=b$

Height of the triangle$=h$

We need to find the area of the triangle.

Step 2. Determine the area of the triangle.

Area of a triangle is:

$A=\frac{1}{2}\times \text{Base}\times \text{Height}$

Substitute the given values in the above formula to find the area of the triangle.

$\begin{array}{rcl}A& =& \frac{1}{2}\times b\times h\\ A& =& \frac{1}{2}bh\end{array}$

Step 3. Conclusion.

The area of the triangle is $\begin{array}{rcl}A& =& \frac{1}{2}bh\end{array}$.