Class 10 Maths · Constructions (old syllabus) · NCERT Exercise 10.4 · Question 5

Constructions (old syllabus) Medium

Draw a triangle ABC in which

A B = 5

cm,

B C = 6

cm and

∠ A B C = 6 0^{\circ}

. Construct a triangle similar to

△ A B C

with scale factor

\frac{5}{7}

. Justify the construction.

Answer

Construct

△ A B C

by SAS, then use 7 equal divisions on an auxiliary ray from B and the 5th division to draw parallels;

△ A^{'} B C^{'}

is similar to

△ A B C

with ratio

\frac{5}{7}

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