Question

If two sides of a triangle are of lengths 7 cm and 3 cm then the third side must be
a)between 4 and 10 b) between 5 and 10 c) between 4 and 9 d) none
Answer is option a I want the step by step explanation​

Answer 1

$\huge{\pink{\underline{\underline{Answer:-}}}}$

Given:

Two sides of triangle are of length 7cm and 3 cm

To find:

Third side of triangle

Method:

⟹ The sum of the length of any two sides of a triangle is always greater than the length of the third side of a triangle

⟹ Also, remember the difference between length of any two sides of a triangle should be lesser than the length of third side

$\\ \\ here \: 7 - 3 = 4 \: cm \\ \\ 7 + 3 = 10 \: cm \\ \\ so \: the \: third \: side \: should \: be \: \\ greater \: than \: 4 \: cm \: and \: lesser \: \\ than \: 10 \: cm \: as \: per \: above \: rules$

Required Answer:

Therefore, the measure of length of third side of triangle is between 4 and 10 cm (lesser than 10 cm and more than 4 cm)

Basic point:

Solve more such questions to get a good hold on it