# CBSE Class 10 Answered

**ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC =**

Asked by supriyasupriya39.10 | 20 Jan, 2023, 08:40: PM

Expert Answer

In Triangles AOD and BOC , AOD = BOC ( vertically opposite angles when two lines intersect )

hence Δ AOD is similar to Δ BOC .

Hence , we have

BC = 2 × AD = 2 × 4 cm = 8 cm

Answered by Thiyagarajan K | 20 Jan, 2023, 10:07: PM

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