CBSE Class 10 Maths (Standard) 2018 · Paper 30(B) · Question 25

Constructions (old syllabus) 4 marks Medium

Write the steps of construction for drawing a

△ A B C

in which

B C = 8

cm,

∠ B = 4 5^{\circ}

and

∠ C = 3 0^{\circ}

. Now write the steps of construction for drawing a triangle whose sides are

\frac{3}{4}

of the corresponding sides of

△ A B C

Answer

Construct

△ A B C

by ASA (

B C = 8

cm,

∠ B = 4 5^{\circ}

∠ C = 3 0^{\circ}

); then mark

4

equal parts on an acute ray from

B

, join

B_{4} C

, draw

B_{3} C^{'} ∥ B_{4} C

and

C^{'} A^{'} ∥ C A

to obtain

△ A^{'} B C^{'}

whose sides are

\frac{3}{4}

△ A B C

🔒 Step-by-step solution