Question

Looking at the right triangle, choose THREE statements that are true.



(3 points)

Right triangles have interior angles that add to equal 180 degrees.

Right triangles must have the side across from the 90 degree angle as the longest side.

Right triangles have side lengths that are always rational numbers.

Right triangles have side lengths that always follow a2+b2=c2

Right triangles have the pattern that the sum of the two shorter sides = the longest side.

Right triangles have interior angles that are all acute angles.
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Answer 1

The true statements are: 1, 2, and 4.

- 1 (True): All triangles, including right triangles, have interior angles summing to 180°.
- 2 (True): The side opposite the 90° angle (the hypotenuse) is the longest side.
- 4 (True): In a right triangle the legs a and b and hypotenuse c satisfy a^2 + b^2 = c^2.

The others are false (side lengths can be irrational; the two shorter sides do not sum equal to the longest side, and not all angles are acute).