Question

1. find the hypotenuse of a right triangle given the legs 20 cm and 21 cm.

29 cm
13 cm
5.8 cm
22 cm

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 20\), \(b=21\), then \(20^{2}+21^{2}=c^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(20^{2}=400\), \(21^{2} = 441\). So \(400 + 441=c^{2}\), \(c^{2}=841\).

Step3: Find \(c\)

\(c=\sqrt{841}=29\).

Answer:

29 cm