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Question

In a square ABCD, the diagonals bisect at O. What type of a triangle of AOB?

A
An equilateral triangle
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B
An isosceles but not a right angles triangle
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C
A right angles but not an isosceles triangle
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D
An isosceles right angled triangle
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Solution

The correct option is D An isosceles right angled triangle
As all diagonals of squares are of equal length
OAB=OBA=OBC=OCB=OCD=ODC=OPA=OAD=45
AOB=90 and OA=OB
Hence, ΔAOB is a right angle isosceles triangle.

1067748_509786_ans_a19af7704a714cf4bafc5e82ec28f7f1.png

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