Question

10/20
which side is the hypotenuse?
2
3
1

Explanation:

Step1: Recall hypotenuse definition

In a right - triangle, the hypotenuse is the side opposite the right angle and the longest side.

Step2: Identify the side

In the given right - triangle, side 1 is opposite the right angle (by the property of right - triangle side - angle relations). Also, using the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) (where \(a = 2\), \(b = 3\)), \(2^{2}+3^{2}=4 + 9=13\), and if \(c\) is the hypotenuse, \(c=\sqrt{13}\approx3.6\). And \(2<3<\sqrt{13}\). So side 1 (the side with length \(\sqrt{13}\)) is the hypotenuse.

Answer:

1