CBSE Class 10 Maths (Standard) 2015 · Paper 30/1/1 · Question 26

Constructions (old syllabus) 4 marks Medium

Construct a triangle

A B C

with

B C = 7

cm,

∠ B = 6 0^{\circ}

and

A B = 6

cm. Construct another triangle whose sides are

\frac{3}{4}

times the corresponding sides of

△ A B C

Answer

Construct

△ A B C

(SAS:

B C = 7

cm,

∠ B = 6 0^{\circ}

A B = 6

cm), then via the 4-division parallel method obtain

△ A^{'} B C^{'}

with

B C^{'} = 5.25

cm,

A^{'} B = 4.5

cm and all sides

\frac{3}{4}

△ A B C

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