Question

5 Measure the sides of the triangles in figures 4a, 46, 4c. Check in each, if the sum of the lengths of any two sides is greater than the third side​

Answer 1

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☞⇒ The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒ The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒ So from the given options 6cm is less than

11cm and greater than 3cm

∴ The length of the third side of triangle is 6cm

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