CBSE Class 10 Maths (Standard) 2017 · Paper 30/1 · Question 26

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

After fixing

∠ C = 3 0^{\circ}

and building

△ A B C

, the division-of-segment method with

4

equal parts (using the

3

rd point) produces

△ A^{'} B C^{'} \sim △ A B C

with sides

\frac{3}{4}

of the originals.

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