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kvv77 [185]
3 years ago
12

Which set of side lengths is a Pythagorean triple? 2, 3, 13 5, 7, 12 10, 24, 29 11, 60, 61

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0
11, 60, 61 side lengths are a pythagorean triple.
goldenfox [79]3 years ago
6 0

Answer: The correct answer is "11,60 and 61".

Step-by-step explanation:

The expression from the Pythagoras theorem in the right triangle is as follows;

AC^{2} =BC^{2} + AB^{2}                      ...... (1)

Here, AC is the longest side which is hypotenuse, AB is the shortest side which is perpendicular in the right triangle and BC is the side of the triangle.

Only 11, 60 and 61 satisfies the above expression.

(61)^{2} =(60)^{2} + (11)^{2}

3721=3600+121

3721=3721  

Therefore, L.H.S is equal to R.H.S. It satisfies the Pythagoras theorem.

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