CBSE Class 10 Maths (Standard) 2017 · Paper 30/3 · Question 22

Constructions (old syllabus) 4 marks Medium

Construct a triangle

A B C

with side

B C = 7

cm,

∠ B = 4 5^{\circ}

∠ A = 10 5^{\circ}

. Then construct another triangle whose sides are

\frac{3}{4}

times the corresponding sides of the

△ A B C

Answer

Construct

△ A B C

with

B C = 7

cm,

∠ B = 4 5^{\circ}

∠ C = 3 0^{\circ}

(since

∠ A = 10 5^{\circ}

); then by the scale-factor method (

4

equal divisions, parallel through the

3

rd) draw

△ A^{'} B C^{'}

with sides

\frac{3}{4}

△ A B C

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