Question

Triangle DEF is formed by connecting the midpoints of the side of triangle ABC. The lengths of the sides of triangle ABC are shown. Find the perimeter of triangle DEF. Figures not necessarily drawn to scale.​

Answer 1

Explanation:

as per the midsegment theorem

the lines connecting the half-points are half as long as the corresponding parallel side lines of the main triangle, ABC.

EF is half as long as AB = 4/2 = 2

DE is half as long as AC = 6/2 = 3

DF is half as long as BC = 4/2 = 2

so, the perimeter of DEF is

2 + 3 + 2 = 7