Incentre

Q.

The incentre of a triangle is the ______.

1. point of intersection of all the perpendicular bisectors

2. point of intersection of all the angle bisectors

3. point of intersection of all the altitudes

4. point of intersection of all the medians

Q. State the mid point theorem.

Q.

what we call a point which is the intersection point of angle bisectors of a triangle?

Q. Question 10
In given figure PQR is a right triangle, right angled at Q and QS $\perp$ PR. If PQ = 6cm and PS = 4cm, then find QS, RS and QR.

Q. A triangle has side lengths $18,24$ and $30$. Find the area of the triangle whose vertices are the incentre, circumcentre and centroid of the triangle.

Q.

Find the lengths of the medians of a triangle ABC whose vertices are A(7, –3), B(5, 3) and C(3, –1). [4 MARKS]

Q. The incentre of the triangle formed by the vertices $A(-36,7),$ $B(20,7)$ and $C(0,-8)$ is

1. $(\frac{1}{2},1)$
2. $(0,-1)$
3. $(1,\frac{1}{2})$
4. $(-1,0)$

Q. If $(4,3)$ and $(-4,3)$ are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

1. $(0,-3-4\sqrt{3})$
2. $(0,3+4\sqrt{3})$
3. $(0,3-4\sqrt{3})$
4. $(0,-3+4\sqrt{3})$

Q.

Incentre of triangle whose vertices are A(-36, 7), B(20, 7), C(0, -8), is

1. (0, -1)

2. (-1, 0)

3. (-1, -1)

4. (0, 0)

Q.

Tick the correct answer:

In triangle $△ABC$:

1. $AB+BC=AC$

2. $AB+AC=BC$

3. $AB>BC+AC$

4. $AB+BC>AC$