Sum of two sides of a triangle is greater than or equal to the third side.
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Solution: –
False
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
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Sum of two sides of a triangle is greater than or equal to the third side.
Solution: –
False
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
The difference between the lengths of any two sides of a triangle is smaller than the length of the third side.
Solution: –
True.
In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PQR.
Solution: –
False
In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PRQ
Sum of any two angles of a triangle is always greater than the third angle.
Solution: –
False
Sum of any two angles of a triangle is either greater than the third angle or smaller than the third angle.
The sum of the measures of three angles of a triangle is greater than 180o.
Solution: –
False
The sum of the measures of three angles of a triangle is equal to 180o.
It is possible to have a right-angled equilateral triangle.
Solution: –
False
In a right angled triangle, sum of squares of two sides is equal to the square of the third side.
But, in equilateral triangle all sides are always equal.
If M is the mid-point of a line segment AB, then we can say that AM and MB are congruent.
Solution: –
True

In the figure, M is the midpoint,
So, AM = MB
It is possible to have a triangle in which two of the angles are right angles.
Solution: –
False.
It is not possible to have a triangle in which two of the angles are right angles.
It is possible to have a triangle in which two of the angles are obtuse.
Solution: –
False.
It is not possible to have a triangle in which two of the angles are obtuse
It is possible to have a triangle in which two angles are acute.
Solution: –
True.