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Lyrx [107]
2 years ago
11

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

Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

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, a^2+b^2=c^2, 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: 8^2+11^2=18^2. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 64+121=324 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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In ∆RST,

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