consider triangle qrs. the legs each have a length of 10 units. what is the length of the hypotenuse of the…

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 of (a) and (b)

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:

D. (10\sqrt{2}) units