Question
The Area of a triangle is 48 square inches. The base of the triangle is 6 inches. What is the height of the triangle?(1 point) Responses 16 inches 16 inches 14 inches 14 inches 12 inches 12 inches 8 inches
Answers
GPT-4o mini
To find the height of a triangle when the area and base are given, you can use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the area is 48 square inches and the base is 6 inches. Plugging in the values:
\[
48 = \frac{1}{2} \times 6 \times \text{height}
\]
To solve for the height, first multiply both sides of the equation by 2:
\[
96 = 6 \times \text{height}
\]
Now, divide both sides by 6:
\[
\text{height} = \frac{96}{6} = 16 \text{ inches}
\]
So the height of the triangle is **16 inches**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the area is 48 square inches and the base is 6 inches. Plugging in the values:
\[
48 = \frac{1}{2} \times 6 \times \text{height}
\]
To solve for the height, first multiply both sides of the equation by 2:
\[
96 = 6 \times \text{height}
\]
Now, divide both sides by 6:
\[
\text{height} = \frac{96}{6} = 16 \text{ inches}
\]
So the height of the triangle is **16 inches**.