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

Answer 1

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.