Question

The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter

Answer 1

`7.5+2.5√(3)`

Explanation:

The ratio of sides in a 30-60-90 triangle is
`1:2:√(3)`. Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be
`√(3)` is now
`2.5√(3)\approx 4.33`. Adding all of these together, you get
`7.5+2.5√(3)\approx 11.83`. Hope this helps!