Question

Abc is an equilateral triangle and has an area of 8/5. point d is the midpoint of side ab, point e is the midpoint of side bc, and point f is the midpoint of side ac. what is the area of the parallelogram decf?

a.2/5
b.2/3
c.4/5
d.13/15
e.1

Answer 1

Hello,

There are 4 congurent equilateral triangles in ABC and each has an area of (8/5)/4=2/5.
To form the parallelogram we need 2 triangles: 2* 4/5=4/5.

Answer C.