Answer:
Explanation:
perimeter = hypotenuse + side a + side b
sin = opposite / hypotenuse
tan = opposite/adjacent
find the hypotenuse
let x = hypotenuse
sin(55 deg) = 56 / x
x * sin(55 deg) = 56
x = 56 / sin(55 deg) use a calculator
x ~ 68.36
find the side adjacent to 55 degrees
let x = adjacent leg
tan(55 deg) = 56 / x
x * tan(55 deg) = 56
x = 56 / tan(55 deg) use a calculator
x ~ 39.21
add them together
perimeter = 56 + 68.36 + 39.21
perimeter ~ 163.57 or 164