Request a call back

Join NOW to get access to exclusive study material for best results

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
answered-by-expert Expert Answer
In Triangles AOD and BOC , begin mathsize 14px style angle end styleAOD = begin mathsize 14px style angle end styleBOC ( vertically opposite angles when two lines intersect )
begin mathsize 14px style fraction numerator A O over denominator O C end fraction equals fraction numerator D O over denominator O B end fraction equals 1 half end style
 
hence Δ AOD is similar to Δ BOC .
 
Hence , we have begin mathsize 14px style fraction numerator A D over denominator B C end fraction equals 1 half end style
 
BC = 2 × AD = 2 × 4 cm = 8 cm
Answered by Thiyagarajan K | 20 Jan, 2023, 10:07: PM
CBSE 10 - Maths
Asked by savitamahajan202 | 29 Dec, 2022, 02:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Topperlearning User | 22 Dec, 2014, 01:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by | 03 Dec, 2012, 12:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Ashrene | 26 Oct, 2012, 05:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by | 10 Mar, 2008, 03:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by | 08 Mar, 2008, 02:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by | 07 Mar, 2008, 07:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT