Tamil Nadu Board Solutions for Chapter: Geometry, Exercise 13: Exercise

Construct the right triangle $PQR$ whose perpendicular sides are $4.5 \mathrm{cm}$ and $6 \mathrm{cm}$. Also locate its circumcentre and draw the circumcircle.

Construct $△ABC$ with $AB=5 \mathrm{cm}, \angle B=100°$  and $BC=6 \mathrm{cm}$.  Also locate its circumcentre and draw the circumcircle.

Construct an isosceles triangle $PQR$ where $PQ=PR$ and $\angle Q=50°, QR=7 \mathrm{cm}$.  Also draw its circumcircle.

Draw an equilateral triangle of side $6.5 \mathrm{cm}$ and locate its incentre. Also draw the incircle.

Draw a right triangle whose hypotenuse is $10 \mathrm{cm}$ and one of the legs is $8 \mathrm{cm}$. Locate its incentre and also draw the incircle.

Draw $△ABC$ where $AB=9 \mathrm{cm}, \angle CAB=115°$ and $\angle ABC=40°$. Locate its incentre and also draw the incircle.

Construct $△ABC$ in which $AB=BC=6 \mathrm{cm}$ and $\angle B=80°$.  Locate its incentre and draw the incircle.

In the concentric circles, chord $AB$ of the outer circle cuts the inner circle at $C$ and $D$ as shown in the diagram. Prove that, $AB-CD=2AC$