Question

find the area of the triangle below. be sure to include the correct unit in your answer. 7 ft, 4 ft, 10 ft (triangle diagram)

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 is $4$ ft and the height is $7$ ft.

Step3: Substitute values into formula

Substitute base $= 4$ ft and height $= 7$ ft into the formula: $A = \frac{1}{2} \times 4 \times 7$.

Step4: Calculate the area

First, multiply $4$ and $7$: $4 \times 7 = 28$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2} \times 28 = 14$. So the area is $14$ square feet.

Answer:

$14$ square feet (or $14\ \text{ft}^2$)