Find the area of the triangle

Question

ScanSolve AI Tutor · Accepted Answer

To find the area of the triangle, we need its base and height.

Identify the height and base segments.
The height ( $h$ ) of the triangle is given as $6 \text{ m}$ .
The base is composed of two segments: $3 \text{ m}$ and $7 \text{ mm}$ .
Convert all measurements to a consistent unit.
Since the height and one base segment are in meters, we will convert $7 \text{ mm}$ to meters.
There are $1000 \text{ mm}$ in $1 \text{ m}$ .
$7 \text{ mm} = \frac{7}{1000} \text{ m} = 0.007 \text{ m}$
Calculate the total length of the base.
The total base ( $b$ ) is the sum of the two segments:
$b = 3 \text{ m} + 0.007 \text{ m} = 3.007 \text{ m}$
Calculate the area of the triangle using the formula $A = \frac{1}{2} \times \text{base} \times \text{height}$ .
$A = \frac{1}{2} \times b \times h$ $A = \frac{1}{2} \times 3.007 \text{ m} \times 6 \text{ m}$ $A = 3.007 \times 3 \text{ m}^2$ $A = 9.021 \text{ m}^2$
The area of the triangle is $\text{9.021 m}^2$ .

Answer