Read the following statements. /_PQR is acute. /_PQR is isosceles. /_PQR is right. Which two statements contradict each other? 1 and 3 1 and 2 None of the statements contradict each oth

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This question is about the properties of triangles. An acute triangle is a triangle where all three of its angles are less than 90 degrees. An isosceles triangle is a triangle with at least two equal sides, and a right triangle is a triangle with one angle exactly equal to 90 degrees.

Statement 1 says that triangle PQR is acute, which means all its angles are less than 90 degrees.

Statement 2 says that triangle PQR is isosceles, which means it has at least two equal sides. This statement does not contradict with statement 1 because an acute triangle can also be isosceles.

Statement 3 says that triangle PQR is right, which means one of its angles is exactly 90 degrees. This contradicts with statement 1 because if a triangle has a 90-degree angle, it cannot be an acute triangle as all its angles must be less than 90 degrees.

Therefore, the two statements that contradict each other are statement 1 and statement 3.