# Integer Pythagoras

Number Theory Level 2

You have a right triangle that has integer sides. Read the following statements about that triangle.

$$[1]$$. At least one of the sides of that triangle must be divisible by $$3$$.

$$[2]$$. At least one of the sides of that triangle must be divisible by $$4$$.

$$[3]$$. At least one of the sides of that triangle must be divisible by $$5$$.

Which of these statements is(are) correct?

Note: This problem is a part of this set.

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