study the figure carefully and find AP if AB=6.3cm
Answers
Answer:
Hope the solution will be helpful
Given : AA₁=A₁A₂=A₂A₃=BB₁=B₁B₂=B₂B₃=B₃B₄
AB = 6.3 cm
AA₃ || BB₄
To Find : AP
Solution:
in ΔAPA₃ and ΔBPB₄
∠A = ∠B ( alternate angles)
∠AAPA₃ = ∠BPB₄ ( vertically opposite angles)
=> ΔAPA₃ ≈ ΔBPB₄ ( AA)
=> AA₃ / BB₄ = AP / BP
AA₃ = 3AA₁ ∵ AA₁=A₁A₂=A₂A₃=BB₁=B₁B₂=B₂B₃=B₃B₄
BB₄ = 4BB₁
=> AA₃ / BB₄ = 3/4
=> 3/4 = AP/BP
=> 3BP = 4AP
=> 3(AB - AP) = 4AP
=> 3AB - 3AP = 4AP
=> 3AB = 7AP
=> AP = 3AB/7
=> AP = 3 ( 6.3)/7
=> AP = 3 (0.9)
=> A P = 2.7 cm
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