Prove that the line segments joining the mid-points of the sides of at – InterviewSolution

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1.	Prove that the line segments joining the mid-points of the sides of atriangle from four triangles, each of which is similar to the originaltriangle.A. congruent to the original triangleB. similar to the original triangleC. an isosceles triangleD. an equilateral triangle
Answer» Correct Answer - B `ar (Delta QRP) = are (Delta PQR)` `:. (ar (Delta ABC))/(ar (Delta QRP))=(9)/(4)=(3^(2))/(2^(2)) rArr (BC)/(RP)=(3)/(2) [ :. Delta ABC~Delta QRP]` `rArr PR=(2)/(3)xxBC=(2)/(3)xx15 cm, 10 cm`

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