1.

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



Discussion

No Comment Found

Related InterviewSolutions