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SSS Construction

If I have a q...

Question

If I have a quadrilateral PQRS, how many triangles are there in the quadrilateral in which I must have one of the diagonals as a side.

A

3

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B

4

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C

1

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D

2

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Solution

The correct option is B
4

Consider quadrilateral ABCD above. The triangles that can be constructed with diagonals are the following- ABC, DBC, BAD, CAD. Hence, 4 triangles are possible.

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