Question

12. Prove that the perimeter of a quadrilateral is greater than the sum of its diagonals. plzz answer this question it's very important.​

Answer 1

Answer:

By using triangle inequality in the diagnols of a quadrilateral this question can be solved

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Answer 2

To prove

diagonals of a quadrilateral is less than the perimeter of the quadrilateral

PROOF

Let us take a quadrilateral ABCD with AC & BD AS diagonals.

So we know that sum of 2 sides of triangle is greater than its third side.

By this formula we can write that

AB+BC>AC ___________1

DC+CB>BD________________2

By adding equation 1 &2 we get

AB+BC+DC+BC>AC+BD

HENCE PROVED!!!!

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