Q135 of 160 Page 144

In a rectangle ABCD. AB = 25cm and BC = 15cm. In what ration does the bisector of C divides AB?

The figure is given below:


Given, a rectangle ABCD


AB = 25cm


BC = 15cm


Bisector of ∠C divides AB i.e. ∠BCE = 45


⟹ By angle sum property of triangle.


∠BEC = 45


⟹ BC = BE, because sides having equal angles are equal.


BE = 15cm


And AE = AB-BE = 25-15


AE = 10cm


AE:BE = 10:15


AE:BE = 2:3


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