Question

find the area of triangle formed by the co-ordinate Axes and the line x / A + Y / B = 1​

Answer 1

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Just kidding, here's your answer.

We first have to find the places where the given line intersects the axes.

For x-axis,

x/a + 0/b = 1

x = a

Point is (a, 0)

For y-axis,

0/a + y/b = 1

y = b

Point is (0, b)

Height of triangle = a

Base of triangle = b

Area = ½×b×h

= ½ab

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