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Constructions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsConstructions1 Mark
MCQ
Choose the correct answer from the given four options.
To construct a triangle similar to a given $\triangle\text{ABC}$ with its sides $\frac{8}{5}$ of the corresponding sides of $\triangle\text{ABC}$ draw a ray BX such that $\angle\text{CBX}$ is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is:
  • A
    5
  • ✓
    8
  • C
    13
  • D
    3
✓

Answer

Correct option: B.
8
To construct a triangle similar to a given triangle, with its sides $\frac{\text{m}}{\text{n}}$ of the corresponding sides of given triangle the minimum number of points to be located at equal distance is equal to the greater of m and n is $\frac{8}{5}$
Hence,
$\frac{\text{m}}{\text{n}}=\frac{8}{5}$
So, the minimum number of point to be located at equal distance on ray BX is 8.

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