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Consider this triangle with the given lengths. A triangle has side lengths 40, 9, 41. Apply the converse of the pythagorean theorem to determine if it’s a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared

Answer :

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Answer:

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Step-by-step explanation:

Yes, 9²+40²=41²

What is Pythagoras theorem?

Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.

Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.

A triangle has side lengths are 40, 9 and 41

∵ 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 9²+40² = 1,681

Also, 41² = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this triangle follows the theorem, we can conclude that the triangle is a right triangle

Learn more about Pythagoras theorem here:

brainly.com/question/34368

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