Question

length of two sides of a triangle are 7cm and 6cm. Between which two numbers can the length of the third side fall?Explain?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given:-

length of two sides of a triangle are 7cm and 6cm

To find:-

Between which two numbers can the length of the third side fall?Explain?

Solution:-

Length of Two sides of a triangle =7 cm and 6 cm

We know that

Sum of two sides of a triangle is greater than the third side

=>7+6 > Third side

=>13 cm > third side ------(1)

and

Difference between the two sides is less than the third side

=>7-6 < Third side

=> 1 cm < Third side-----(2)

From (1)&(2)

1 cm < third side < 13 cm

Answer:-

Third side of the given triangle lies between 1 cm and 13 cm

Used formulae:-

Inequalities of triangle:-

• The sum of any two sides of the triangle is greater than the third side.
• The difference between the two sides of a triangle is less than the third side.