Question

find a formula for the area of the figure shown to the right in terms of m. 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 - isosceles triangle, the base $b = m$ and the height $h = m$.

Step3: Substitute values into formula

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

Answer:

$\frac{1}{2}m^{2}$