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Constructions — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsConstructions5 Marks
Question
To construct a triangle similar to $\triangle\text{ABC}$ in which BC = 4.5cm, $\angle\text{B}=45^\circ$ and $\angle\text{C}=60^\circ,$ using a scale factor of $\frac35$ BC will be divided in the ratio.
  1. 3 : 4
  2. 4 : 7
  3. 3 : 10
  4. 3 : 7
✓

Answer

To construct a triangle similar to $\triangle\text{ABC}$ in which BC = 4.5cm, $\angle\text{B}=45^\circ$ and $\angle\text{C}=60^\circ,$ using a scale factor of $\frac35$ BC will be divided in the ratio 3 : 4.

Here, $\triangle\text{ABC}\sim\triangle\text{AB}'\text{C}'$
BC' : C'C = 3 : 4
or BC' : BC = 3 : 7
Hence, the correct answer is option A.

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