26. Find the area of the triangle formed by the lines x + y - 6 =0, 2x + y - 4 = 0 and x + 2y - 5 = 0
Answers
Answer:
2x+y=6
⟹y=6−2x
Let, x=1, then y=6−2(1)=4
Similarly, when x=2,y=2
x−2y+2=0
⟹x=2y−2
Let, y=0, then x=2(0)−2=−2
Similarly, when y=2,x=2
Plotting the above points on the graph, we get, the vertices of the traingle, i.e. A(2,3),B(3,0),C(−2,0)
∴ Area of the triangle =
2
1
×5units×2units
=5 sq. units
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