Question

find the length of the missing side for this right triangle. (estimate an irrational answer to two decimal places.) ? 9 4 after you enter your answer press go.

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse, and \(a\), \(b\) are the legs. Here, hypotenuse \(c = 9\), one leg \(b = 4\), and the other leg \(a\) is unknown. So, \(a^2 + 4^2 = 9^2\).

Step2: Solve for \(a^2\)

\(a^2 = 9^2 - 4^2 = 81 - 16 = 65\).

Step3: Find \(a\)

\(a=\sqrt{65}\approx 8.06\) (rounded to two decimal places).

Answer:

\(8.06\)