# The vertices of a triangle ABC are # A(-6, 3) , B(-3,5) & C(4,-2)# . If the co-ordinate of P are #(x,y)# . How to prove that #PBC/ABC = x+y-2/5 # ?

##### 1 Answer

#### Explanation:

D is the foot of the perpendicular from P to BC

E is the foot of the perpendicular from A to BC

Slope of the straight line passing through

Intercept of the straight line passing through

Equation of the straight line passing through

Rearranging

Expressing in the standard form,