In a triangle the greater angle has the longer side opposite to it.

Which of the following statements are true (T) and which are false (F)? Sum of the three sides of a triangle is less than the sum of its three altitudes. Sum of any two sides of a triangle is greater than twice the median drawn to the third side. Sum of any two sides of a triangle is greater than the third side. Difference of any two sides of a triangle is equal to the third side. If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.

If two angles of a triangle are unequal , then the smaller angle has the ________ side opposite to it .

In a triangle the angle opposite the largest side is the largest.

Theorem 7.6 : If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater)

If one side of a triangle is double the other, and the angles opposite to these sides differ by 60^(@) , show that the triangle is right-angled.

If the angles of a triangle are in the ratio 2:3:7, then the sides opposite to the angles are in the ratio

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1, then orthocentre of the triangle is :