Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. 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. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

If two sides of a triangle are inequal , then the larger side has _______ angle 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.

In a triangle , the shortest side has the smallest angle opposite to it .

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 of another side and the angles opposite to these sides differ by 60^@ , the triangle is right angled. True or False?

If the sides of a triangle are in the ratio 5:8:11 and theta denotes the angle opposite to the largest side of the triangle,then the value of tan^(2)((theta)/(2))=

If the three sides of a triangle are a, sqrt3a and sqrt2a, then the measure of the angle opposite to longest side is

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

Test the validity of the following argument : S_(1) : If two sides of a triangles are equal, then the opposite angles are equal. S_(2) : Two sides of a triangle are not equal S : Two opposite angles are not equal.