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. She makes a scale drawing of the triangle. If the base of her scale drawing is 4 inches, what is the height of her scale drawing? (1 point)
Responses
2.5 inches
2.5 inches
1 inch
1 inch
2 inches
2 inches
10 inches
explain
To find the height of Crystal's scale drawing, we need to set up a proportion between the base and height of the actual triangle and the base and height of the scale drawing.
Actual triangle:
Base = 8 inches
Height = 5 inches
Scale drawing:
Base = 4 inches
Height = x (unknown)
Using the proportion:
8/5 = 4/x
Cross multiply to solve for x:
8x = 20
x = 20/8
x = 2.5
Therefore, the height of Crystal's scale drawing is 2.5 inches. So, the correct answer is 2.5 inches.