Which of the following are properties of right triangles?

1. The square of the hypotenuse is equal to the sum of the squares of the other two sides

2. The acute angles are not complements of each other; that is, the sum of the two acute angles does not equal 90°

3. The hypotenuse is greater than either of the other sides and is less than their sum

4. The greater angle is opposite the greater side, and the greater side is opposite the greater angle

Question

Mathematics

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Which of the following are properties of right triangles?

1. The square of the hypotenuse is equal to the sum of the squares of the other two sides

2. The acute angles are not complements of each other; that is, the sum of the two acute angles does not equal 90°

3. The hypotenuse is greater than either of the other sides and is less than their sum

4. The greater angle is opposite the greater side, and the greater side is opposite the greater angle

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Answers (1)

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Hobbs · Answer 1

The properties that apply true are:

1-as it implies the Pythagorean theorem; a^2+b^2=c^2

3-as it implies the basic rules of visualized geometry.

4-as the greater side (hypotenuse) is opposite the right angle.

NOT 2, as the accrue angles ARE complimentary.