Question

In this diagram, ABAC – AEDF. If thearea of ABAC = 6 in2, what is thearea of AEDF?DE2 inFB3 inСArea = [?] in?Enter a decimal rounded to the tenths.

Answer 1

8/3 square inches

Step-by-step explanation:

First, we need to get the height of the triangle BAC

Area of triangle = 1/2 * base * height

6 = 1/2 * 3 * height

12 = 3 * height

Height = 12/3

The height of triangle BAC is 4inches

Next is to get the height of EDF. Since they are both similar hence;

2/3 = h/4

3h = 2 * 4

3h = 8

h = 8/3

h = 8/3in

Hence the height of triangle EDF is 8/3in

Get the area of triangle EDF

Area of triangle EDF = 1/2 * 2 * 8/3

Area of triangle EDF = 8/3 square inches

Hence the area of triangle EDF is 8/3square inches