M L Aggarwal Solutions for Exercise 1: Exercise 14

Without using protractor or set square, construct:

Triangle $ABC$ in which $\text{AB=5.5cm,BC=3.2cm and CA=4.8cm.}$

Without using set square or protractor, construct:

Draw the locus of a point which moves so that it is always $2.5\text{cm}$ from $B.$

Without using set square or protractor construct:

Draw the locus of a point which moves so that it is equidistant from the sides $BC$ and $CA$.
 

Without using set square or protractor, construct:

Mark the point of intersection of the loci with the letter $P$ and measure $PC.$

By using ruler and compasses only, construct an isosceles triangle in which locate the point $P$ such that, $P$ is equidistant from the sides $BC$ and $AC.$

Using a ruler and a compass only construct a semi-circle with diameter $BC=7cm$. Locate a point $A$ on the circumference of the semi-circle such that $A$ is equidistant from $B$ and $C$. Complete the cyclic quadrilateral $ABCD$, such that $D$ is equidistant from $AB$ and $BC$. Measure $\angle ADC$ and write it down.

Ruler and compasses only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
Construct a triangle $\mathrm{ABC}$, in which $\mathrm{BC}=6 \mathrm{cm},\mathrm{AB}=9 \mathrm{cm}$, and $\angle \mathrm{ABC}=60°$.

Ruler and compasses only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
Construct the locus of all points, inside $∆\mathrm{ABC}$,which are equidistant from $\mathrm{B}$ and $\mathrm{C}$.