Question: If the height of the triangle in the figure is decreased to 4 in., what happens to the area of the triangle?
A ) It is decreased from 38.5 to 22 square inches. B ) It is decreased from 99 to 44 square inches. C ) It is decreased from 99 to 22 square inches. D ) It is decreased from 77 to 44 square inches.
Steps to derive
1 From the figure, base of the triangle = 11 in. height of the triangle = 7 in.
2 Area of the triangle = 12 × base × height = 12 × 11 in. × 7 in. = 38.5 in.2
3 New height of the triangle = 4 in.
4 New area of the triangle = 12 × 11 in. × 4 in. = 22 in.2
5 If the height of the triangle in the figure is decreased to 4 in., then area of the triangle decreased from 38.5 to 22 square inches.
