Question

the lengths of two sides of a triangle are 20 cm and 15 CM respectively. show that the length of the third side will lie between 5 cm and 35 cm​

Answer 1

Answer:

Since, the sum of lengths of any two sides in a triangle should be greater than the length of the third side.

It is given that two sides of triangle are 12cm and 15cm.

Therefore, the third side should be less than 12+15=27cm.

And also the third side cannot be less than the difference of the two sides.

Therefore, the third side has to be more than 15−12=3cm

Therefore, the third side should be the length more than 3cm and less than 27cm.

therefore, 3cm< 3rd side <27cm

Answer 2

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Given: Length of two sides= 20 cm and 15 cm

We have to prove that the length of third side will lie between 5 cm to 35 cm.

We know that the sum of length of two sides of a triangle is always greater than the length of third side.

So,

15+20=35

20-15=5

Hence, it is proved that the length of third side will lie between 5 cm to 35 cm.

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