Question

for the following right triangle, find the side length x.

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 20\), \(b = 21\), and \(c=x\) (hypotenuse).

Step2: Substitute values

$$20^{2}+21^{2}=x^{2}$$
$$400 + 441=x^{2}$$
$$841=x^{2}$$

Step3: Solve for \(x\)

$$x=\sqrt{841}$$
$$x = 29$$

Answer:

\(29\)