Jitender Gupta and Divya Malik Solutions for Exercise 2: CHALLENGERS

Given, a $△$$ABC$ with $BC=6.5 \mathrm{cm}, AB=5.5 \mathrm{cm}$ and $AC=5 \mathrm{cm}$ as shown below:

Construct an incircle of a $△ABC$.

Given, a $△$$\mathrm{ABC}$ with $\mathrm{BC}=6.5 \mathrm{cm}, \mathrm{AB}=5.5 \mathrm{cm}$ and $\mathrm{AC}=5 \mathrm{cm}$ with incircle in the figure below:

The radius of incircle is

Given, a $△$$\mathrm{ABC}$ with $\mathrm{BC}=6.5 \mathrm{cm}, \mathrm{AB}=5.5 \mathrm{cm}$ and $\mathrm{AC}=5 \mathrm{cm}$ with incircle in the figure below:

The coordinates of the centre of the circle are 

Given, a $△$$ABC$ with $BC=6.5 \mathrm{cm}, AB=5.5 \mathrm{cm}$ and $AC=5 \mathrm{cm}$ with incircle in the figure below:

The distance from centre of the circle to vertex $B$ of $△ABC$ is

Draw a circle of radius $3 \mathrm{cm}$. Take two points $P$ and $Q$ on one of its extended diameter, each at a distance of $7 \mathrm{cm}$ from its centre. Draw tangents to the circle from these two points $P$ and $Q$.

Let $ABC$ be a right-angled triangle, in which $AB=6 \mathrm{cm}, BC=8 \mathrm{cm}, \angle B=90°$ and $BD$ is the perpendicular from $B$ on $AC$. The circle through $B, C$ and $D$ is drawn. Construct the tangents from $A$ to this circle.

Draw a circle with the help of circular solid ring construct a pair of tangents from a point $P$ outside the circle.

Construct a tangent to a circle of radius $4 \mathrm{cm}$ from a point on the concentric circle of radius $6 \mathrm{cm}$ and measure its length.