Question

Which of the following statements are true of the hypotenuse of a right triangle?

It is the longest side of a right triangle.
It is one of the legs.
It is opposite the right angle.
Its length is the sum of the lengths of the other two sides.
It forms a right angle with an adjacent side.

Answer 1

It is the longest side of a right triangle.

Answer 2

Answer:

It is the longest side of a right triangle.

It is opposite the right angle.

Step-by-step explanation:

First of all, remember that the hypothenuse of a right triangle is the largest side of all three. Also, the hypothenuse is always in front of the right angle. Those two characteristics are used to determined which side is the hypothenuse in a right triangle.

So, basically, the first choice is correct: It is the longest side of a right triangle.

The third choice is also correct: It is opposite the right angle.

Additionally, the legs are the ones which form the right triangle and the length of the hypothenuse is not the sum of the lengths of the other two sides, because that actually violates the triangular inequality which defined all existing triangles.

Therefore, the right answers are first and third choices.