Q. 20

The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between
A. 1 cm and 10 cm

B. 2 cm and 8 cm

C. 3 cm and 16 cm

D. 1 cm and 16 cm

Answer :

Difference of 2 sides of triangle is always smaller than the 3rd side of triangle


Difference = 9cm – 7cm = 2cm


3rd side must be greater than 2cm


And


Sum of 2 sides of triangle is always greater than 3rd side of triangle


Sum = 9cm + 7cm = 16cm


3rd side must be smaller than 16cm


Hence;


Appropriate option comes out to be (C). 3 cm and 16 cm

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