R. D. Sharma Solutions for Chapter: Constructions, Exercise 2: EXERCISE

Draw $△ABC$ in which $AB=5.5 \mathrm{cm}, BC=6 \mathrm{cm}$ and $CA=7 \mathrm{cm}$. Also, draw perpendicular bisector of side $BC$.

Draw $△PQR$ in which $PQ=3 \mathrm{cm}, QR=4 \mathrm{cm}$ and $\mathrm{RP}=5 \mathrm{cm}$. Also, draw the bisector of $\angle Q$.

Draw an equilateral triangle one of whose sides is of length $7 \mathrm{cm}$.

Draw a triangle whose sides are of lengths $4 \mathrm{cm}, 5 \mathrm{cm}$ and $7 \mathrm{cm}$. Draw the perpendicular bisector of the largest side.

Draw a triangle $ABC$ with $AB=6 \mathrm{cm}, BC=7 \mathrm{cm}$ and $CA=8 \mathrm{cm}$. Using ruler and compass alone, draw the bisector $AD$ of $\angle A$.

Draw a triangle $ABC$ with $AB=6 \mathrm{cm}, BC=7 \mathrm{cm}$ and $CA=8 \mathrm{cm}$. Using ruler and compass alone, draw perpendicular $AL$ from $A$ on $BC$. Measure $\angle LAD$.

Draw $△DEF$ such that $DE=DF=4 \mathrm{cm}$ and $\mathrm{EF}=6 \mathrm{cm}$. Measure $\angle E$ and $\angle F$.

Draw any triangle $ABC$. Bisect side $AB$ at $D$. Through $D$, draw a line parallel to $BC$, meeting $AC$ in $E$. Measure $AE$ and $EC$.