Construct a $ riangle ABC$ with sides $BC = 6$ cm, $AB = 5$ cm and $\angle ABC = 60°$. Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of $ riangle ABC$.

Question

Construct a $	riangle ABC$ with sides $BC = 6$ cm, $AB = 5$ cm and $\angle ABC = 60°$. Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of $	riangle ABC$.

Accepted Answer

Step 1: Constructing $	riangle ABC$ with given dimensions: Draw $BC = 6$ cm, construct $\angle ABC = 60°$, mark $AB = 5$ cm, join $AC$.
Step 2: Constructing the similar triangle: Draw ray $BX$ making acute angle with $BC$. Mark $4$ points $B_1, B_2, B_3, B_4$ on $BX$. Join $B_4C$. Draw $B_3C'$ parallel to $B_4C$. Draw $C'A'$ parallel to $CA$. $	riangle A'BC'$ is the required triangle.

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