Question

If two sides of the triangle ABC are 5cm and 3cm. what should be the maximum length of the

third side?

a) 7cm b) 8cm c) 9cm d) 10cm​

Answer 1

✴Question:-

If two sides of the triangle ABC are 5cm and 3cm. what should be the maximum length of the third side?

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✴Answer:-

→Given:-

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

→To Find:-

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

→Concept:-

• Simple Measurement Problem.

→Calculation:-

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,

$3cm + 5cm > a \: cm$

$8cm > a \: cm$

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✴Final Answer:-

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

Option (a) is correct.

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