CBSE Class 10 Maths (Standard) 2018 · Paper 30/3/1 · Question 29

Constructions (old syllabus) 4 marks Medium

Draw a triangle

A B C

with

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 the

△ A B C

Answer

△ A^{'} B C^{'}

, with

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

cm,

B A^{'} = \frac{3}{4} (5) = 3.75

cm, and

A^{'} C^{'} = \frac{3}{4} A C

, is the required triangle similar to

△ A B C

with each side

\frac{3}{4}

of the corresponding side.

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