Question

find the length of the third side. if necessary, write in simplest radical form. answer attempt 1 out of 2 pythagorean theorem (radical answers) finding angles in transversal problems (level 2) name angles scientific calculator graphing calculator samanta del castl log out back to home watch video show examples

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 3\) and \(b = 3\).

Step2: Substitute values into formula

\(c^{2}=3^{2}+3^{2}=9 + 9=18\).

Step3: Solve for \(c\)

\(c=\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}\).

Answer:

\(3\sqrt{2}\)