Area of triangle ABC is 144 cm2. Another triangle is formed by joining the mid-points of sides of ABC. Yet another triangle is formed by joining the mid-points of the new triangle to obtain a third triangle. Find the area of the smallest triangle.
Explanation:
When mid-points of a triangle is formed, we get 4 smaller triangles and area of each of these smaller triangles is one-fourth the area of the larger triangle.
Thus, if area of triangle ABC is 144, the area of triangle formed by joining the midpoints will be 144/4 = 36.
The area of the third triangle will be 36/4 = 9cm2.
Hence, option (d).
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