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Millie is drawing a triangle one side has a length of 9 units and another side has a length of 6 units what could be the length of the third side of the triangle?

User OddEssay
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2 Answers

3 votes

Answer:

The length of the third side could be greater than 3 units and less than 15 units.

Step-by-step explanation:

If a, b and c are three sides of the triangle, then

Since one side has a length of 9 units and another side has a length of 6 units, you have

Hence, you get

Altogether,

The length of the third side could be greater than 3 units and less than 15 units.

User Menion Asamm
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8.3k points
2 votes

Answer:

The length of the third side could be greater than 3 units and less than 15 units.

Explanation:

If a, b and c are three sides of the triangle, then


  • a+b>c;

  • a+c>b;

  • b+c>a.

Since one side has a length of 9 units and another side has a length of 6 units, you have


9+6>c,\\ \\9+c>6,\\ \\6+c>9.

Hence, you get


c<15,\\ \\c>-3,\\ \\c>3.

Altogether,


3<c<15.

The length of the third side could be greater than 3 units and less than 15 units.

User Andykiteman
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8.2k points

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