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Vinil7 [7]
3 years ago
10

Does 12cm, 7cm, 5cm, make a triangle

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

No, it doesn't.

Step-by-step explanation:

In order to find what makes a triangle, lets use the Triangle Inequality Theorem!

This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not

Here is our formula(s):

1.)<em> a + b > c</em>

2.)<em> a + c > b</em>

3.) <em>b + c > a.</em>

Lets make a=12, b=7, & c=5

1.) 12 + 7 > 5

    19 > 5

2.) 12 + 5 > 7

       17 > 7

3.) 7 + 5 > 12

      10 > 12

As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if <em>all</em> the two side lengths of a triangle is greater than the third side, then it makes a triangle.

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