Sum of Two Sides of the Triangle is Always Greater than the Third Side : Solved Examples

Sum of Two Sides	Angle Sum Property	Angles opposite to equal sides of triangle are equal	Angle opposite to longer side is greater	Pythagoras Theorem
Exterior Angle Property of a Triangle	Mid point property of Triangle	Triangles on same base & between same parallel lines

Can a triangle be constructed with sides 4 cm, 5 cm & 10 cm ? We know that in order to construct a triangle: Sum of two sides of a Triangle should be greater than the third side So let's check this property of triangle with the help of following statements: Statement 1: 4 + 5 > 10 ?? Statement 2: 4 + 10 > 5 ?? Statement 3: 5 + 10 > 4 ?? On check the above Statement we can see that Statement 2 & Statement 3 are correct i.e. Sum of two sides is greater than the third side. But statement 1 is in correct i.e. Sum of two sides is not greater than the third side. Hence, we can say that it's not possible to construct a triangle with sides 4 cm, 5 cm & 10 cm Related Question Examples Can a triangle be constructed with sides 4 cm, 5 cm & 10 cm ? Can a triangle be formed with sides 6 cm, 7 cm & 3 cm ? In the following diagram, ABC is triangle and D is a point on side BC: In the following quadrilateral: Prove: PQ + QR + PS + RS > PR + QS Lengths of two sides of a triangle are 7 cm and 9 cm. Can you guess between which two numbers will the length of third side fall ?