M L Aggarwal Solutions for Exercise 3: Chapter Test

Using ruler and compasses only, construct a triangle $ABC$ having given $c=6 \mathrm{cm}$, $b=7 \mathrm{cm}$ and $\angle A=30°$.  Measure side $a$. Draw the circumcircle of the triangle.

Using ruler and compasses only, construct an equilateral triangle of height $4 \mathrm{cm}$ and draw its circumcircle.

Using a ruler and compasses only, construct a triangle$\mathrm{ABC}$ with the following data: $\mathrm{BC}=7 \mathrm{cm}, \mathrm{AB}=5 \mathrm{cm}$ and $\angle \mathrm{ABC}=45°$.

Using a ruler and compasses only, construct a triangle$\mathrm{ABC}$ with the following data: $\mathrm{BC}=7 \mathrm{cm}, \mathrm{AB}=5 \mathrm{cm}$ and $\angle \mathrm{ABC}=45°$. Draw the inscribed circle to $△\mathrm{ABC}$ drawn in part.

Draw a triangle $\mathrm{ABC}$, given that $\mathrm{BC}=4 \mathrm{cm}, \angle \mathrm{C}=75°$ and that radius of the circumcircle of $∆\mathrm{ABC}$ is $3 \mathrm{cm}$.

Draw a regular hexagon of side$3.5 \mathrm{cm}$. Construct its circumcircle and measure its radius.

Construct a triangle$\mathrm{ABC}$ with the following data: $\mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}$ and $\angle \mathrm{ABC}=90°$. Find a point $\mathrm{P}$ which is equidistant from $\mathrm{B}$ and $\mathrm{C}$and is $5 \mathrm{cm}$ from $\mathrm{A}$. How many such points are there?

Construct a triangle ABC with the following data AB = 5 cm, BC = 6 cm and ÐABC = 90°. Construct the c of DABC .