The length of a hypotenuse of a 30 - 60 - 90 triangle is 11. what is the perimester

Since we know that the hypotenuse is 11 and this is a 30 - 60 - 90 right triangle we can use 11 to find the other sides.

The hypotenuse is 2s, s is the 30 side length.

So s = 11 / 2 = 5.5

The 60 side is s * square root of 3.

5.5 * square root of 3 = about 9.5.

Now that we know all three sides we can add them together to get the perimeter.

11 + 5.5 + 9.5 = 26

:)))