CBSE Class 10 Maths (Standard) 2020 · Paper 30/5/1 · Question 32(a)

Constructions (old syllabus) 3 marks Medium

Construct a

△ A B C

with sides

B C = 6

cm,

A B = 5

cm and

∠ A B C = 6 0^{\circ}

. Then construct a triangle whose sides are

\frac{3}{4}

of the corresponding sides of

△ A B C

Answer

△ A^{'} B C^{'}

, constructed with

B C^{'} = \frac{3}{4} (6) = 4.5

cm on

B C

and

A^{'} C^{'} ∥ A C

, is the required triangle similar to

△ A B C

with scale factor

\frac{3}{4}

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