In the figure, if c1, c2,c3,... and D1, D2, D3,... have been marked at equal distances. In what ratio
divides CD ?
Answers
Given : c1, c2,c3,... and D1, D2, D3,... have been marked at equal distances.
To Find : O divides CD in what ratio
Solution:
in Δ COC₁ & Δ DOD₁
∠COC₁ = ∠ DOD₁ ( vertically opposite angles)
∠OC₁ C = ∠OD₁D ( alternate angles)
∠OCC₁ = ∠ODD₁ ( alternate angles)
Δ COC₁ ≈ Δ DOD₁ (AAA)
corresponding angles are congruent and the corresponding sides are proportional
=> CO/DO = CC₁ /DD₁
c1, c2,c3,... and D1, D2, D3,... have been marked at equal distances.
=> CC₁ = 4x
DD₁ = 5x
CO/DO = 4x /5x
=> CO/DO = 4/5
O divides CD in 4:5 ratio
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