Question

An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet and a height of 5 feet. The second triangle has a base of 25 feet. If the two triangles have the same area, what is the height of the second triangle.

Answer 1

The correct answer is c) 4ft

Answer 2

The first triangle has a base of 20 feet and a height of 5 feet.
A = 1/2bh
A = 1/2(20)(5) 
A = 50

The second triangle has a base of 25 feet, two triangles have the same area

A = 1/2bh
50 =1/2(25) h
50 = 12.5 h
h = 50 / 12.5
h = 4

answer: C) 4 ft