In a triangle, segment joining mid points of any two sides is………….of third side and ………to third side. (Fill in the blanks and state the theorem)

Write the type of triangle formed by joining the midpoints of the sides of an equilateral triangle.

In the following example, can the segment joining the given points form a triangle? If triangle is formed, state the type of the triangle considering sides of the triangle. L(6,4),M(-5,-3),N(-6,8).

In the following examples , can the segment joining the given points from a triangle ? If triangle is formed , state the type of the triangle considering sides of the triangle. (iii) A (sqrt(2) ,sqrt(2)) , B (-sqrt(2) ,-sqrt(2) ), C (-sqrt(6) ,sqrt(6) )

In the following examples,can the segment joining the given points form a triangle?If triangle is formed,state the type of the triangle considering sides of the triangle.(ii)P(-2,-6),Q(-4,-2),R(-5,0).

In the following examples,can the segment joining the given points form a triangle?If triangle is formed,state the type of the triangle considering sides of the triangle.(iii)A(sqrt 2,sqrt 2),B(-sqrt 2,-sqrt 2),C(-sqrt 6,sqrt 6).

The perimeter of a triangle is 9m^2-2n+8 and its two sides are 4m^2+3n and 7m^2+5n-12 Find the third side.

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

In triangle PQR , point S is the midpoint of side QR. If PQ=11, PR=17, PS=13, then find QR.