Question

draw the graph of x+y=6 which intersects the X-axis and the Y-axis at A and B respectively. Find the length if seg AB. Also,find the area of ∆AOB where point O is the origin

Answer 1

Hi friend here is your answer

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x+y=6

By substituting y=0, we get x=6 on x-axis
by substituting x=0, we get y=6 on y-axis

so A=(6,0), B=(0,6)

By using two point distance form AB length=8.485units

It's a right angle isosceles triangle with OA as height and OB as base

Hence the area of the triangle OAB is 18sq.units


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