Question

If x = 7 units and h = 5 units, then what is the area of the triangle shown above?
A.
52.5 square units
B.
17.5 square units
C.
12.5 square units
D.
35 square units

Answer 1

To find the area of a triangle, you can use the formula:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In this case, if we take \( x = 7 \) units as the base and \( h = 5 \) units as the height, we can substitute these values into the formula:

\[
\text{Area} = \frac{1}{2} \times 7 \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 35
\]
\[
\text{Area} = 17.5 \text{ square units}
\]

Thus, the area of the triangle is **17.5 square units**.

Therefore, the correct answer is **B. 17.5 square units**.