Triangle has vertices

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Triangle

ABC

has vertices

A(2,3)

B(8,7)

and

C(4,-1)

. The points

D

E

and

F

are the mid-points of

BC

CA

and

AB

respectively. (i) Find the area of

\triangle ABC

. (ii) Find the area of

\triangle DEF

. (iii) Hence determine the ratio

\displaystyle \dfrac{\text{area}(\triangle ABC)}{\text{area}(\triangle DEF)}