Question

the legs of a right triangle measure 20 centimeters and 21 centimeters. how long is the hypotenuse in centimeters? 22 25 29 35

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 20\), \(b=21\), and the hypotenuse be \(c\). The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\). So \(c^{2}=20^{2}+21^{2}\).

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

\(20^{2}=20\times20 = 400\) and \(21^{2}=21\times21=441\). Then \(c^{2}=400 + 441=841\).

Step3: Find \(c\)

Since \(c^{2}=841\), then \(c=\sqrt{841}=29\).

Answer:

C. 29