Question

____ is the area of the triangle formed by

the coordinate axes and the line x+y = 6.

Answer 1

$\textbf{Answer :}$

The lines are

x-axis : y = 0

y-axis : x = 0

x + y = 6
or, x/6 + y/6 = 1

So, this line intersects the x-axis at (6,0) and the y-axis at (0,6).

We get a triangle according as the given attachment.

The base of the triangle is 6 units and its height is also 6 units.

Therefore, the area of the triangle be

= 1/2 × base × height

= 1/2 × 6 × 6 unit²

= 3 × 6 unit²

= 18 unit²

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