The diagonals of rectangle ABCD meet at point O. If AO = 11 cm, then find
the length of diagonal BD.
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Consider triangle AOB,
AO = 5 cm, BO = 12 cm
AO² + BO² = 5² + 12²
= 25 + 144
= 169
= 132
As, AO² + BO² = AB²
Hence, using converse of Pythagoras theorem triangle AOB is right angle triangle.
So, diagonals are perpendicular to each other. Hence, ABCD is a rhombus
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