Question

the figure shows the lengths, in inches, of two sides of a right triangle. what is the area of the triangle, in square inches? note: figure not drawn to scale.

Explanation:

Step1: Recall area formula

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

Step2: Identify base and height

In the given right - triangle, the base $b = 5$ inches and the height $h=3$ inches.

Step3: Calculate the area

Substitute $b = 5$ and $h = 3$ into the formula: $A=\frac{1}{2}\times5\times3=\frac{15}{2}=7.5$ square inches.

Answer:

$7.5$