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chubhunter [2.5K]
3 years ago
14

State if the three numbers can be the measures of the sides of a triangle.

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer:

No. They cannot be the measures of the sides of a triangle.

Step-by-step explanation:

<em>Using Pythagorean Theorem (a² + b² = c²) we can find out if these measures match.</em>

<em>The order for </em><em>a</em><em> and </em><em>b</em><em> doesn't matter, but the measure for </em><em>c</em><em> does. </em><em>c</em><em> is the hypotenuse, the longest side of a triangle. With these measures, </em><em>10</em><em> will be the hypotenuse because it is the longest.</em>

6² + 9² = 10²  <em>If this is true, then the measures can be sides of a triangle.</em>

117 = 100   <em>6 squared plus 9 squared equals 117 but 10 squared equals 100. They do not match so the answer is no.</em>

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