Questions: Area of a triangle Find the area of the triangle below. Be sure to include the correct unit in your answer.

Area of a triangle

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Transcript text: Area of a triangle Find the area of the triangle below. Be sure to include the correct unit in your answer.
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Solution

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Solution Steps

Step 1: Identify the base and height of the triangle

The given triangle is a right triangle with the base (7 ft) and the height (24 ft).

Step 2: Use the area formula for a triangle

The formula for the area of a triangle is: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

Step 3: Substitute the base and height into the formula

Substitute the base (7 ft) and the height (24 ft) into the formula: \[ \text{Area} = \frac{1}{2} \times 7 \, \text{ft} \times 24 \, \text{ft} \]

Step 4: Calculate the area

\[ \text{Area} = \frac{1}{2} \times 168 \, \text{ft}^2 \] \[ \text{Area} = 84 \, \text{ft}^2 \]

Final Answer

The area of the triangle is \( 84 \, \text{ft}^2 \).

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