Question 123

The area in sq. unit. of the triangle formed by the graphs ofx= 4, y= 3 and 3x+ 4y= 12 is


Clearly, x=4 is a vertical line passing through (4,0) and y=3 is a horizontal line passing through the point (0,3)
The line 3x+ 4y= 12 also passes through (4,0) and (0,3) .
Hence, it is a right angled triangle with base=4 units and height=3 units.
The area of the triangle is = $$\frac{1}{2}bh$$
= $$\frac{1}{2}\times4\times3$$
=6 units

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