Question

consider triangle abc. the legs have a length of 5 units. what is the length of the hypotenuse of the triangle? 5 units 5√2 units 10 units 10√2 units

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle \(ABC\) with legs \(a = 5\) and \(b = 5\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\).

Step2: Substitute values

\(c^{2}=5^{2}+5^{2}=25 + 25=50\).

Step3: Solve for \(c\)

\(c=\sqrt{50}=5\sqrt{2}\).

Answer:

\(5\sqrt{2}\text{ units}\)