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

Constructions (old syllabus) 4 marks Medium

Construct a

△ A B C

in which

A B = 6

cm,

∠ A = 3 0^{\circ}

and

∠ B = 6 0^{\circ}

. Construct another

△ A B^{'} C^{'}

similar to

△ A B C

with base

A B^{'} = 8

cm.

Answer

△ A B C

is right-angled at

C

(

∠ C = 9 0^{\circ}

);

△ A B^{'} C^{'}

is the enlargement with scale factor

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

and base

A B^{'} = 8

cm.

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