The number of non-congruent integer-sided triangles whose sides belong to the set $\{10, 11, 12, \ldots, 22\}$ is

$A$ regular polygon of $n$ sides has $170$ diagonals,then $n$ is equal to

In a plane,there are $37$ straight lines,of which $13$ pass through point $A$ and $11$ pass through point $B$. Moreover,no three lines (apart from the lines passing through $A$ and $B$) pass through the same point,and no two lines are parallel. What is the number of points of intersection of the straight lines?

$T_m$ denotes the number of triangles that can be formed with the vertices of a regular polygon of $m$ sides. If $T_{m+1}-T_m=15$,then $m$ is equal to

If a polygon has $44$ diagonals,then the number of its sides is:

Out of $10$ points in a plane,$6$ are in a straight line. The number of triangles formed by joining these points is: