ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of ΔABC is 16 cm 2 , find the area of ΔDEF.

Question

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of &#x394;ABC is 16 cm 2 , find the area of &#x394;DEF.

Philoid · Accepted Answer

Given that,

D, E, F are the mid-points of BC, DC, AE respectively

Let, AD is median of triangle ABC

Area ( = Area (

= * 16

= 8 cm²

Now, AE is a median of

Area ( = Area (

= * 8

= 4 cm²

Again,

DE is the median of

Area (F) = Area (

= * 4

= 2 cm²

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of ΔABC is 16 cm2, find the area of ΔDEF.

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of ΔABC is 16 cm², find the area of ΔDEF.