The two sides of a triangle are 3 cm and 5 cm. What is the maximum possible length of the third side of the triangle?a) 2b) 5c) 7d) 6

Given :

The two sides of a triangle are 3 cm and 5 cm.

To do:

We have to find the maximum possible length of the third side of the triangle.

Solution:

Let the length of the third side be 'a' cm.

The lengths of the three sides of the triangle are 3 cm, 5 cm, and a cm.

The triangle inequality rule states that the sum of two sides of a triangle is greater than the third side.

Therefore,

$3 cm + 5 cm > a cm$

$8 cm > a cm$

From the given options, the maximum length of the third side is 7 cm.

Option (c) is correct.

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Updated on: 10-Oct-2022

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