Question

D and E are the mid-points of the sides AB and AC respectively of triangle ABC. If the perimeter of triangle ABC = 35cm,find the perimeter of triangle ADE​

Answer 1

Question =》

D and E are the mid-points of the sides AB and AC respectively of triangle ABC. If the perimeter of triangle ABC = 35cm,find the perimeter of triangle ADE

Given=》

D and E are the midpoints of side AB and AC

Perimeter of triangle ABC =35cm

To prove =》

Area of triangle ADE

Proof =》

As D and E the mid-point of AB and AC.

AD = ½ AB

and AE = ½ AC

DE = ½ BC (mid-point theorem)

Perimeter of ADE = AD + DE + AE

= ½(AB+BC+CA)

= ½perimeter of △ABC

 Perimeter of △ADE

= ½×35 cm

= 17.5 cm