InterviewSolution
Saved Bookmarks
| 1. |
Construct a triange ABC in which AD,BE and CF are the medians with AD =5.4cm, BE=6 cm and CF=8.1cm. |
|
Answer» Solution :We KNOW that the centroid G divides each MEDIAN in the ratio `2:1` from the corresponding vertex. (a) `AG=3.6 cm, GD=1.8 cm``{ :' AD =5.4 cm}` (b) `BG=4 cm, GE=2cm``{ :' BE=6 cm}` (c ) `CG=5.4 cm, GF=2.7 cm``{ :' CF =8.1 cm}` Produce `bar(GD)` to the point H such that `GD=DH=1.8` cm. Now, BGCH is a parallelogram. ![]() (a) Draw a parallelogram BGCH with `BH=CG=5.4cm, HC=BG=4cm` and `GH=3.6cm`. (b) JOIN BC. (c) Produce BG to the point E such that `GE=2cm`. (d ) Produce CG to the pointsuch that `GF=2.7`cm. (e) ` Join BF and CE and produce them to meet at point A. ABC is the requiredtriangle. |
|