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
2 inches 2.5“ 10“ 1 inch
The height of Crystal's scale drawing can be calculated using the proportion method.
Given:
Actual height of the triangle = 5 inches
Actual base of the triangle = 8 inches
Scale base of the drawing = 4 inches
Let x be the height of the scale drawing.
Using the ratio of height/base for the actual triangle and the scale drawing:
5/8 = x/4
Cross multiplying:
5*4 = 8*x
20 = 8x
Dividing both sides by 8:
x = 20/8
x = 2.5 inches
Therefore, the height of Crystal's scale drawing is 2.5 inches.