Question

5/20 if three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse? 41 40 9

Explanation:

Step1: Recall Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$ (where \(c\) is hypotenuse)

Step2: Calculate \(9^{2}+40^{2}\)

$$9^{2}+40^{2}=81 + 1600=1681$$

Step3: Calculate \(41^{2}\)

$$41^{2}=1681$$
Since \(9^{2}+40^{2}=41^{2}\), by Pythagorean theorem, 41 is the hypotenuse.

Answer:

41