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Answer:
(d) 16 is the answer.
Step-by-step explanation:
Prove the triangles DNO and BMO congruent.
1--- DN=BN
2--- Angle DON= Angle BOM
3--- Angle DNO= Angle BMO
Hence, by RHS the triangles are congruent.
Thus, OD=OB(by c.p.c.t)
BO=8
BD=2BO= 2*8= 16.
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Taking triangles BOM and DON.
angle BMO=angle DNO=90 degrees.
BM=DN(given).
Based on RHS criterion, those two triangles are congruent.
BO=DO(CPCT) ....1
BD=BO+OD
from equation 1,
BD=BO+BO
BD=8+8
BD=16cm...
hope this helps you..
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