Q:

Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle?5 units units10 units units

Accepted Solution

A:
Answer: [tex]10\sqrt{2}units[/tex]Step-by-step explanation: You must apply the Pytagorean theorem, which is shown below: [tex]a^2=b^2+c^2[/tex] Where: a is the hypotenuse and b and c are the legs of the triangle. Then, if you know the lenght of the legs of the triangle, you can solve for the hypotenuse. Therefore, keeping the above on mind, you obtain the following result: [tex]a=\sqrt{b^2+c^2}[/tex] [tex]a=\sqrt{(10units)^2+(10units)^2}\\a=10\sqrt{2}units[/tex]