Option A: 6 square inches is the area of the triangle.
Step-by-step explanation:
Given that the base of the triangle is 4 inches.
The height of the triangle is 3 inches.
We need to determine the area of the triangle.
Area of the triangle:
The area of the triangle can be determined using the formula,
![A=(1)/(2)bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/pmi4atjsmn0794m9nb42tnma5o4ubiy66a.png)
where b is the base and h is the height of the triangle.
Substituting
in the above formula, we get,
![A=(1)/(2)(4)(3)](https://img.qammunity.org/2021/formulas/mathematics/college/ijegztzfogsntqsbqwsxrowv7cn5krlj9e.png)
![A=(12)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/pl8vqxasfntqlaluxapd2sapqqsex1quxd.png)
![A=6 \ in^2](https://img.qammunity.org/2021/formulas/mathematics/college/gltj7ggeg87hn62scuk6bbz86rlt14rxfu.png)
Thus, the area of the triangle is 6 square inches.
Hence, Option A is the correct answer.