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Construction of a Quadrilateral When Three Sides and Two Included Angles Are Given

In a quadrila...

Question

In a quadrilateral $A B C D, A B = A C = 10 c m$ and $D B = D C = 5 c m$ . Its diagonals intersect each other at $90^{o}$ .what type of quadrilateral is it.

A

Trapezium

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B

Kite

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C

Rhombus

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D

Rectangle

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Solution

The correct option is A Kite
In kite quadrilateral,
Two pairs of sides are of equal length.
One pair of diagonally opposite angles is equal.
The diagonals intersect at 90°.

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