Question

F and e are midpoints of ab and ad respectively. If the side of square abcd is 8, what is the area of triangle cef?

Answer 1

Area of Δ cef = 24 sq, units.

Step-by-step explanation:

See the diagram attached.

Area of Δ bcf = Area of Δ cde = $\frac{1}{2} \times 8 \times 4 = 16$ sq. units.

Again, the area of Δ aef = $\frac{1}{2}\times 4 \times 4 = 8$ sq, units.

So, the area of Δ cef = Area of square abcd - Area of Δ bcf - Area of Δ cde - Area of Δ aef

= (8 × 8) - (2 × 16) - 8

= 64 - 32 - 8 = 24 sq. units. (Answer)