CBSE Class 10 Maths (Standard) 2016 · Paper 30/2 · Question 28

Constructions (old syllabus) 4 marks Medium

Draw an isosceles

△ A B C

in which

B C = 5.5

cm and altitude

A L = 3

cm. Then construct another triangle whose sides are

\frac{3}{4}

of the corresponding sides of

△ A B C

Answer

Construct

△ A B C

via the perpendicular bisector of

B C

(apex

A

at height

3

cm above midpoint

L

), then use a 4-part division ray from

B

and the 3rd division point to obtain

△ A^{'} B C^{'}

with all sides

\frac{3}{4}

△ A B C

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