In a rectangle ABCD , AB = 25 cm and BC = 15 cm in what ratio does - Maths - Understanding Quadrilaterals

Question

In a rectangle ABCD , AB = 25 cm and BC = 15 cm in what ratio does
the bisector of angle C divide AB?

Shamitha Gaddam · Answer

AB = 25 cm, BC = 15 cm
CE is the bisector of ∠C = ∠BCE = 45°
Therefore, ∠BEC = 45° {Angle sum property of a
triangle]
BC = BE [Sides opposite to equal angles are equal]

BE = 15 cm

AE = 25 - 15 = 10 cm

AE:BE = 10 : 15 = 2 : 3

Therefore, the ratio in which the bisector of ∠C divides AB is
2:3

In a rectangle ABCD , AB = 25 cm and BC = 15 cm . in what ratio does the bisector of angle C divide AB?