Question

in the given figure angle abc = 90 degrees and bd is perpendicular bisector of ac if bd= 8 cm and ad =4 cm the value of cd is ​

Answer 1

Answer:

AD = 6.4

Step-by-step explanation:

in ΔBDC  BD ⊥ CD

=> BC² = BD² + CD²

=> BC² = 8² + 10²

=> BC² = 164

=> BC = 2√41

Δ BDC ≈ ΔADB

as ∠CBD = 90° - ∠C   & ∠A = 90° - ∠C

∠BDC = ∠ADB = 90°

=> BD/CD  = AD/BD = AB/BC

=>  8/10 = AD/8

=> AD = 6.4