SOLUTION: If a,b > 0 and the triangle in the first quadrant bounded by the coordinate axes and the graph of ax + by = 6 has area 6, then find ab. your help is appreciated. Thanks

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Question 198823: If a,b > 0 and the triangle in the first quadrant bounded by the coordinate axes and the graph of ax + by = 6 has area 6, then find ab.
your help is appreciated. Thanks
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Since the triangle is bounded by the coordinate axes, the vertexes must be the points , , and

To calculate set in



Likewise



Giving us vertices of , , and

The measure of the length of the side of the triangle coincident with the -axis is just the -coordinate of the -intercept, namely , likewise the measure of the other leg of the triangle is

The area of a triangle is the base (either of the legs) times the height (the other leg) divided by 2, and we are given that this is equal to 6, so:












John
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