Mathematics
In the adjoining figure, ABCD is a quadrilateral in which BN and DM are drawn perpendiculars to AC such that BN = DM. If OB = 4 cm, then BD is
6 cm
8 cm
10 cm
12 cm
Triangles
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Answer
∠MOD = ∠NOB (Vertically opposite angles)
∠DMO = ∠BNO (Each = 90°)
BN = DM (Given)
Hence, △MOD ≅ △NOB by AAS axiom.
We know that corresponding parts of congruent triangles are equal.
OD = OB = 4 cm.
BD = OB + OD = 4 + 4 = 8 cm.
Hence, Option 2 is the correct option.
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