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Standard X

Mathematics

Area of a Triangle Given Its Vertices

5, 10, 15, ...

Question

$(5, 10)$ , $(15, 15)$ and $(5, 5)$ are the coordinates of vertices A, B and C respectively of $△ A B C$ and P is a point on median AD such that $A P : P D = 2 : 3$ . Ratio of the areas of the triangles PBC and ABC is

2 : 3

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3 : 4

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3 : 5

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4 : 5

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Solution

The correct option is A $2 : 3$

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Q. A

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(5,10), (15,15) and (5,5) are the coordinates of vertices A, B and C respectively of △ABC and P is a point on median AD such that AP:PD=2:3. Ratio of the areas of the triangles PBC and ABC is

The correct option is A 2:3

$(5, 10)$ , $(15, 15)$ and $(5, 5)$ are the coordinates of vertices A, B and C respectively of $△ A B C$ and P is a point on median AD such that $A P : P D = 2 : 3$ . Ratio of the areas of the triangles PBC and ABC is

The correct option is A $2 : 3$