
Sum of the three sides of a triangle is less than the sum of its three altitudes.


Important Questions on Congruent Triangles
State whether the given sentence is true or false:
Sum of any two sides of a triangle is greater than twice the median drawn to the third side.

State whether the following sentence is True or False:
Sum of any two sides of a triangle is greater than the third side.

State whether the following sentence is True or False:
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.

Fill in the blanks:
In a right triangle the hypotenuse is the _____ side.

Fill in the blanks:
The sum of three altitudes of a triangle is _____than its perimeter.

The sum of any two sides of a triangle is _____ than the third side. [greater / smaller]
