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Answered

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Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.​

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CrazyMoosenidn

Answer:

Not a right triangle.

Step-by-step explanation:

If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, [tex]a^2+b^2=c^2[/tex], so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: [tex]8^2+11^2=18^2[/tex]. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that [tex]64+121=324[/tex] according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.

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