Question

find a formula for the area of the figure shown to the right in terms of p. a = (use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Identify base and height

For the given right - angled triangle, the base $b = p$ and the height $h = p$.

Step3: Substitute values into formula

Substitute $b = p$ and $h = p$ into $A=\frac{1}{2}bh$. We get $A=\frac{1}{2}\times p\times p=\frac{p^{2}}{2}$.

Answer:

$\frac{p^{2}}{2}$