Area Of A Triangle

Coordinate Geometry of Class 10

The area of a ΔABC with vertices Area Of A Triangle is given by area Area Of A Triangle

Proof: Let Area Of A Triangle be the vertices of the given ΔABC.

Draw AP, BM and CN perpendiculars to the x-axis.

Area Of A Triangle

∴ Area of ΔABC

= ar (trap. BMPA) + ar (trap.. APNC) − ar (trap. BMNC)

Area Of A Triangle

CONDITION FOR COLLINEARITY OF THREE POINTS

Let the given points be Area Of A Triangle.

Then A, B and C are collinear

⇒ area of ΔABC = 0

Area Of A Triangle

 

 

Talk to Our counsellor