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Find an integer x such that x, 56, 65 is a pythagorean triple

1 Answer

6 votes

Answer:

x = 33

Explanation:

The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.

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We want ...

x² +56² = 65²

x² = 65² -56² = 4225 -3136 = 1089

x = √1089 = 33

The value x = 33 will make (33, 56, 65) a Pythagorean triple.

User Brotheryura
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