Q. 2

# ABCD is a rectangle and BD is one of its diagonals. If ar(Δ ABD) = 8 cm2 . Find ar(ΔBCD).

In the above figure, we have two right-angled triangles ΔABD and ΔBCD.

Now in ΔABD and ΔBCD

AB = DC ( opposite sides of rectangle are equal)

BAD = BCD ( both are 90°)

AD = BC ( opposite sides of rectangle are equal)

ΔABD ΔBCD(SAS property)

As congruent triangles have equal area.

ar(ΔABD) = ar(ΔBCD)

Area of ΔBCD = 8cm2

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