In the original triangle, the height is 5 inches and the base is 8 inches. The area of the original triangle is 0.5 * base * height = 0.5 * 8 * 5 = 20 square inches.
In the scale drawing, the height is 2 inches. To find the area of the scale drawing, we need to consider the scale factor used to create the drawing. Since the height in the scale drawing is 2 inches and the original height is 5 inches, the scale factor is 2 / 5 = 0.4.
To find the area of the scale drawing, we need to square the scale factor and then multiply it by the area of the original triangle:
Area of scale drawing = (scale factor)^2 * area of original triangle
Area of scale drawing = 0.4^2 * 20 = 0.16 * 20 = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.
Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
(1 point)
Responses
3.2 square inches
3.2 square inches
1.6 square inches
1.6 square inches
6.4 square inches
6.4 square inches
20 square inches
1 answer
1 answer