Question

plz answer me fast with explanation​

Answer 1

Step-by-step explanation:

Let ABC be a triangle with A(a,b),

B(2,1) and C(3,-2).

A lies on the line y=x+3 means..

b=a+3.....................(1).

Area of ∆ABC=(1/2)|a b 1|

|2 1 1|

|3 -2 1|

=>5=(1/2)(3a+b-7)

=>3a+b=17.............(2)

Solving (1) and (2) for a and b we get

a=7/2 and b=13/2

Hence coordinates of the vertex A are

(7/2,13/2).

Hope it helps you to understand your problem......

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