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Based on the given segment lengths, determine whether the segments can form a triangle.

11.5,10.5, 6.1
9.5, 3.5, 4.5
8, 6.7, 1
8, 6.7, 9.8
5, 6, 8
9.5, 7.5, 8.5

Based on the given segment lengths determine whether the segments can form a triangle 115105 61 95 35 45 8 67 1 8 67 98 5 6 8 95 75 85 class=

Respuesta :

musiclover10045

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

varshamittal029

Can form triangle : 11.5,10.5, 6.1 & 8, 6.7, 9.8 & 5, 6, 8 & 9.5, 7.5, 8.5

Can not form triangle : 9.5, 3.5, 4.5 & 8, 6.7, 1

                             

What is triangle inequality theorem ?

If sum of any two line segments is greater than the third line segment, then we can say that, they can make a triangle.

How to know which sets form triangle ?

1st problem,

The given line segments are 11.5, 10.5, 6.1

Now, 11.5+10.5 = 22 > 6.1

10.5+6.1 = 16.6 > 11.5

11.5+6.1 = 17.6 > 10.5

So, this three segments can form triangle.

2nd problem,

The given line segments are 9.5, 3.5, 4.5

Now, 9.5+3.5 = 13 > 4.5

9.5+4.5 = 14 > 3.5

4.5+3.5 = 8 < 9.5

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

3rd problem,

The given line segments are 8, 6.7, 1

Now, 8+6.7 = 14.7 > 1

8+1 = 9 > 6.7

6.7+1 =7.7 < 8

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

4th problem,

The given line segments are 8, 6.7, 9.8

Now, 8+6.7 = 14.7 > 9.8

8+9.8 = 17.8 > 6.7

6.7+9.8 = 16.5 > 8

So, this three segments can form triangle.

5th problem,

The given line segments are 5, 6, 8

Now, 5+6 = 11>8

5+8 = 13 > 6

6+8 = 14 > 5

So, this three segments can form triangle.

6th problem,

The given line segments are 9.5, 7.5, 8.5

Now, 9.5+7.5 = 17 > 8.5

9.5+8.5 = 18 > 7.5

7.5+8.5 = 16 > 9.5

So, this three segments can form triangle.

Learn more about triangle here :

https://brainly.com/question/26113765

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