Incentre

Q.

What is the inradius of a regular hexagon of sides 6 cm?

1. 6 cm

2. $2\sqrt{3}cm$

3. $3\sqrt{3}cm$

4. $3\sqrt{2}cm$

Q. Walls of two buildings on either side of a street are parallel to each other. A ladder $5.8$ m long is placed on the street such that its top just reaches the window of a building at the height of $4$m. On turning the ladder over to the other side of the street, its top touches the window of the other building at a height $4.2$ m Find the width of the street.

Q.

$ABCD$ is quadrilateral. Is $AB+BC+CD+DA<2(AC+BD)$?

Q. Solve the following equation:
${\log }_{x-1}3=2$

Q. A(h, -6), B(2, 3) and C(-6, k) are the co-ordinates of vertices of a triangle whose centroid is G (1, 5). Find h and k.