if AO/OC=BO/OD=1/2 and AB= 5cm find the value of DC. Its a trapezium
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In ΔAOB and ΔCOD,
∠ AOB = ∠COD (Vertically opposite angles)
AO/OC = DO/OB (Given)
Therefore according to SAS similarity criterion,
ΔAOB ~ ΔCOD
AO/OC = BO/OD = AB/DC [corresponding sides of similar triangles are proportional]
⇒ 1/2 = 5/DC
⇒ DC = 10
∠ AOB = ∠COD (Vertically opposite angles)
AO/OC = DO/OB (Given)
Therefore according to SAS similarity criterion,
ΔAOB ~ ΔCOD
AO/OC = BO/OD = AB/DC [corresponding sides of similar triangles are proportional]
⇒ 1/2 = 5/DC
⇒ DC = 10
saikiran63:
no diagnols are equal soDC=5
no
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