In the given figure AO / OC = DO / OB = 1/2 and AD = 4cm . Then the value of…
2024
In the given figure AO / OC = DO / OB = 1/2 and AD = 4cm . Then the value of BC is:
- A.
8
- B.
10
- C.
12
- D.
6
Attempted by 4 students.
Show answer & explanation
Correct answer: A
Key property: In a trapezoid with parallel bases AD and BC, the diagonals intersect at O and satisfy AO/OC = AD/BC and DO/OB = AD/BC.
Given AO/OC = DO/OB = 1/2, it follows that AD/BC = 1/2.
Since AD = 4 cm and AD/BC = 1/2, we solve for BC: BC = 2 × AD = 2 × 4 = 8 cm.
Answer: 8 cm