Multiple choice

There is a semi-circle with diameter AD = 8 cm and a chord BC ||AD. AB = CD = 2 cm. Find the measure of BC एक अर्द्धवृत्त जिसका व्यास 8 बउ है। और एवं जीवा BC है | AD. AB = CD = 2, BC की माप ज्ञात करो।

  1. 11 cm./सेमी.

  2. 9 cm./सेमी.

  3. 5 cm./सेमी.

  4. 7 cm./सेमी.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In the semicircle, drop perpendiculars from B and C to diameter AD. Let the foot from B be E and from C be F. AB = CD = 2, so AE = DF = 2. Radius = 4, so the perpendicular heights equal √(4² - 2²) = √12. By symmetry, BC = 2√12 = 2×3.46 = 6.92 ≈ 7 cm. Option D is correct. Options A, B, C don't satisfy the geometric constraints.