Question

Midsegments DE= 7, EF=12 DF=16 if D, E, and F are midpoints of the sides of triangle ABC, find the perimeter of triangle of ABC

PLZ HELP I need this in 10 or so min

Answer 1

In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length ⇒DE is parallel to AC, and DE = 8, AC=16.

Similarly, DF is parallel to BC, and DF=6, BC=12

Explanation:

Similarly, EF is parallel to AB, and EF=3.5, AB=7

Hence, perimeter of ΔDEF = 8+6+3.5 = 17.5