Incircle

Q.

A line segment drawn from a vertex of a triangle to the mid point of its opposite side is called___.

Q.

A circle touching all the vertices of a triangle is known as

1. Incircle

2. Orthocentre

3. Circumcircle

4. Median

Q.

Construct a $∆PQR$ in which $PQ=3.8cm$$,QR=4.2cm$ and $PR=3.5cm$.

Q. What will be the radius of this circle?

Q.

Construct $△\mathrm{DEF}$ in which $\mathrm{EF}=5\mathrm{cm}$, $\angle \mathrm{E}=\angle \mathrm{F}=50°$. What kind of triangle is this?

Q.

The radius of a triangle's incircle is known as:

1. inradius

2. orthocenter

3. centeroid

4. median

Q. The point of concurrency of the angle bisectors of a triangle is known as_____.

1. None
2. Centroid
3. Orthocentre
4. Incentre

Q. Construct $△ABC$ Such that $\angle B={100}^{\circ },$
$BC=6.4cm,\angle C={50}^{\circ }$ and constant its incircle

Q. Construct $△XYZ$ such that $XY=6.7cm,YZ=5.8cm,XZ=6.9cm$. Construct its incircle.

Q. What are the minimum criteria required to construct an in-circle?

Q.

To draw an incircle, which of the following is/are required?

1. To draw the bisector of any one angle of the triangle

2. To draw the bisectors of any two angles of the triangle.

3. The perpendicular distance from incentre to one of the sides of the triangle.

4. To draw only one perpendicular bisector of two sides of the triangle.

Q. Draw a triangle of sides $5cm$ and $5cm$ and construct its incircle. Write the radius of the incircle.

Q. Construct a triangle $ABC$ , having given $BC=7$ cm, $AB-AC=1$ cm and $\angle ABC={45}^o$. Draw its incircle.

Q. Construct the incentre of $△ABC$ with $AB=7cm,\angle B={50}^{\circ }$ and $BC=6cm$. Also draw the incircle and measure its inradius

Q. Draw a triangle of sides 5 cm, 6 cm and 7 cm. Draw its incircle. Measure and write the radius of the incircle.

Q. The point equidistant from the three sides of a triangle is

1. circumference
2. centroid
3. orthocentre
4. incentre

Q. Construct the circumcircle and incircle of an equilateral $△ABC$ with side $6cm$ and centre $O$. Find the ratio of radii of circumcircle and incircle.

Q. The intersection point of all three internal bisectors is known as _____ of a circle.

1. incenter
2. orthocenter
3. circumcenter
4. perpendicular bisector

Q. Construct an incircle of an equilateral triangle whose one side is $4cm$ in length.

Q. Construct $△ABC$ such that $\angle B={100}^0$ , $BC=6.4cm,\angle C={50}^0$

Q. Construct $\Delta PEN$ with $PE=4cm,EN=5cm$ and $NP=3cm$. If you draw circle instead of arcs how many points of intersection do you get ? How many triangles with given measurements are possible ? Is this true in case of every triangle?

Q. Where is the incenter of a right triangle?

1. $B$
2. $A$
3. $C$
4. $D$

Q. Construct incircle of an equilateral triangle having side $5.4$ $cm$.

Q. Construct the incircle of the equilateral triangle whose one side is $8cm$.

Q. Draw a circle with radius $2.5cm$. Draw a triangle of two angles ${50}^o,{60}^o$ with all its sides touching the circle.

Q. Construct a triangle ABC with AB= 5 cm, $\angle B={60}^{\circ }andBC=6.4cm.$ Draw the incircle of the triangle ABC.

Q. Construct circumcircle and incircle of an equilateral $△XYZ$ with side $6.3$ cm.

Q. ABC is a triangle with