The length of the hypotenuse of a 30 degrees, -60 degrees, and -90 degrees triangle is 4. What is the perimeter?

Question

4+12 sqrt 3

6+2 sqrt 3

2+6 sqrt 3

12+ 4 sqrt 3

Answer 1

As part of your repertoire of essential math facts, your should know the sides of a
30-60-90 triangle are 1 : √3 : 2, where 2 is the hypotenuse.
so the perimeter would be 3 + √3

Your hypotenuse is 4, twice the above, so the perimeter would be 6 + 2√3