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The lengths of the two sides of a triangle are given. Find the lengths that the third side must be greater than and less than. a. 7,2 b. 12, 21

The lengths of the two sides of a triangle are given Find the lengths that the third side must be greater than and less than a 72 b 12 21 class=

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starlipika

a) 7 > 3rd side > 2

b) 21 > 3rd side > 12

deepakrai138

For 1st triangle 3rd side is always greater than 2 and less than 9.

And for 2nd triangle third side is always greater than 12 and less than 33.

Given the sides of triangles are 7, 2 and 12, 21.

We know that triangle has total 3 sides in total and the sum of two sides of triangle is always greater than the 3rd side, and the length of 3rd side is always greater than the smallest side.

For 1st triangle sum of two sides is (7+2) 9 and the smallest side is 2.

And for 2nd triangle sum of two sides is (12+21) 33 and smallest side is 12.

So For 1st triangle 3rd side is always greater than 2 and less than 9.

And for 2nd triangle third side is always greater than 12 and less than 33.

For more details on triangle sides inequality follow the link:

https://brainly.com/question/7455408

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