Question

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

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Substitute values

Here \(a = 10\) and \(b = 10\), so \(c^{2}=10^{2}+10^{2}=100 + 100=200\).

Step3: Solve for \(c\)

\(c=\sqrt{200}=\sqrt{100\times2}=10\sqrt{2}\).

Answer:

10√2 units