Question

THE TRIANGLE AND ITS PROPERTIES
127
6. The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two
measures should the length of the third side fall?​

Answer 1

Answer:

the answer is 4/5 of the length of the third side fall

Answer 2

Step-by-step explanation:

According to the property of Triangle Inequality,

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

and

the difference of any two sides of a triangle is less than the third side.

So, using the above property we solve the sum as,

Let the length of the third side be x cm.

We know that sum of any two sides of a triangle is greater than the third side. Therefore, (12+15cm) = 27cm.

Also we know that the difference of any two sides of a triangle is less than the third side.

Therefore, ( 15-12cm ) = 3cm

We understand that the length of the third side should be more than 3cm and less than 27cm.

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