Question

Use the image to answer the question.

An illustration shows a triangle with a base of 20 inches and a perpendicular height of 6 inches. The height is a dashed line from the top vertex to the base, splitting the triangle in half, thus forming two triangles. A right angle symbol is shown where the dashed line meets the base, on the right side.

What is the area of the triangle shown?

(1 point)
Responses

26 square inches
26 square inches

30 square inches
30 square inches

120 square inches
120 square inches

60 square inches

1 answer

To find the area of a triangle, we use the formula:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

In this case, the base is 20 inches and the height is 6 inches. Plugging in these values:

\[ \text{Area} = \frac{1}{2} \times 20 \times 6 \] \[ \text{Area} = \frac{1}{2} \times 120 \] \[ \text{Area} = 60 \text{ square inches} \]

Thus, the area of the triangle is 60 square inches.

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