a = 11.6
b = 21.6
c =
A=
B=
C= 90 ( right triangle )
For the missing side apply the Pythagorean theorem:
c^2 = a^2 + b^2
Where:
c = hypotenuse
a & b = the other 2 legs of the triangle:
c^2 = (11.6)^2 + (21.6)^2
c ^2 = 134.56 + 466.56
c^2 = 601.12
c =√601.12
c= 24.52
For the missing angles apply trigonometric functions:
Sin a = opposite side / hypotenuse
Sin A = 11.6 / 24.52
A = Arcsin (11.6/24.52)
A = 28.23 °
Sum of all interior angles of a triangle = 180°
A + B + C = 180
28.23 + B + 90 = 180
B = 180 - 90 -28.23
B= 61.77
Anwers
a = 11.6
b = 21.6
c = 24.52
A= 28.23
B= 61.77
C= 90