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Three triangles, △LMN, △PQR and △CDE are formed in such a way that the inside triangle is formed by joining the midpoints of the sides of outside triangle. △LMN is the outermost triangle while △CDE is the innermost triangle. The length of the sides of inner most triangle are CD = 3, DE = 8 and CE = 4.
Find the perimeter of the outermost triangle.

A.30
B.60
C.72
D.90
Answer and Feedback
Answer:B
Feedback:∴ Perimeter of △PQR = 2 x Perimeter of △CDE = 2(3+8+4) = 30
Perimeter of △LMN = 2 x Perimeter of △PQR = 2 x 30 = 60

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