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In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates of point C?

In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates of point C?
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In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates of point C?

In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates-example-1
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User Bhagwat K
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I hope this helps you
In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates-example-1
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User Nikhil Surendran
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(1/2(AC) * DC) / (1/2(BC) * DC) = 3/4
AC / BC = 3/4

The coordinate of C be (x, y), then
((4(1) + 3(8))/7, (4(-9) + 3(-2))/7) = ((4 + 24)/7, (-36 - 6)/7) = (28/7, -42/7) = (4, -6)
answered
User Charles Offenbacher
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