Question

find the area of the triangle below. be sure to include the correct unit in your answer. triangle image with base 13 cm, height 4 cm, and one side 10 cm

Explanation:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Identify base and height

From the diagram, the base of the triangle is $13$ cm and the height is $4$ cm.

Step3: Substitute values into formula

Substitute $base = 13$ cm and $height = 4$ cm into the formula: $A = \frac{1}{2} \times 13 \times 4$.

Step4: Calculate the area

First, multiply $13$ and $4$: $13 \times 4 = 52$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2} \times 52 = 26$.

Answer:

$26$ square centimeters (or $26\ \text{cm}^2$)