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In ΔABC, BC = 8 cm and D, E are the midpoints of AB and AC; also AF = 1/2 AD and AG = 1/2 AE then FG =A) 4 cm B) 32 cm C) 3 cm D) 2 cm |
Answer» Correct option is (D) 2 cm In a triangle, line segment joining mid-points of two sides is parallel to third side and exactly half of third side. \(\therefore\) DE = \(\frac12BC\) \((\because\) D & E are mid-points of sides AB & AC) \(=\frac12\times8\) = 4 cm \(\because\) AF = \(\frac12AD\) and AG \(=\frac12AE\) \(\therefore\) F & G are mid-points of sides AD & AE of triangle ADE. \(\therefore\) FG = \(\frac12DE\) \(=\frac12\times4\) = 2 cm Correct option is D) 2 cm |
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