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

Constructions (old syllabus) 4 marks Medium

Write the steps of construction for constructing a triangle similar to

△ A B C

with sides

5

cm,

6

cm and

7

cm, such that its sides are

\frac{3}{5}

times the sides of

△ A B C

Answer

Construct

△ A B C

(sides

5, 6, 7

cm); draw ray

B X

at an acute angle; mark

5

equal parts

B_{1} \dots B_{5}

; join

B_{5} C

; through

B_{3}

draw a parallel to

B_{5} C

meeting

B C

C^{'}

; through

C^{'}

draw a parallel to

C A

meeting

B A

A^{'}

. Then

△ A^{'} B C^{'}

is similar to

△ A B C

with sides

\frac{3}{5}

as long.

🔒 Step-by-step solution