Question: Homework 4.8: Solving Equations With Fractions
Score: 7/8 Answered: 7/8
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Question 8
0/1 pt 100 99 Details
The graph shape is a triangle with a dashed vertical altitude from the top vertex to the base; the base is labeled 9 and the height is labeled 9. position_hint: center
Find the area of the triangle pictured above.
1. **State the problem:** We need to find the area of a triangle with base $9$ and height $9$.
2. **Formula for the area of a triangle:**
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
3. **Substitute the given values:**
$$\text{Area} = \frac{1}{2} \times 9 \times 9$$
4. **Calculate the product:**
$$\text{Area} = \frac{1}{2} \times 81$$
5. **Simplify the fraction:**
$$\text{Area} = \frac{\cancel{1}}{\cancel{2}} \times 81 = \frac{81}{2}$$
6. **Convert to decimal or mixed number:**
$$\text{Area} = 40.5$$
**Final answer:** The area of the triangle is $40.5$ square units.