Question: The area of a triangle can be found using the formula:
Area = 1/2 \cdot base \cdot height
Find the area of the triangle pictured below, where the
measurements are given in meters (m)
10 m
7 m
Graph shape: right triangle in the lower-left/center-left area with a vertical left side labeled 10 m and a horizontal bottom side labeled 7 m, the slanted side connecting the top of the vertical side to the right end of the base.
position_hint=bottom-left
1. **State the problem:** We need to find the area of a right triangle with a base of $7$ meters and a height of $10$ meters.
2. **Formula:** The area $A$ of a triangle is given by:
$$A = \frac{1}{2} \times \text{base} \times \text{height}$$
3. **Substitute the values:**
$$A = \frac{1}{2} \times 7 \times 10$$
4. **Calculate the product:**
$$A = \frac{1}{2} \times 70$$
5. **Simplify the fraction:**
$$A = \cancel{\frac{1}{2}} \times \cancel{70}$$
More explicitly:
$$A = \frac{70}{2}$$
6. **Divide:**
$$A = 35$$
7. **Conclusion:** The area of the triangle is $35$ square meters.