Answer:
x = 8.66
y = 17.321
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 1.0472 rad = π/3 = 60°
a = c·sin(A)/sin(C) = 8.66025 = 5[tex]\sqrt{3}[/tex]
b = c·sin(B)/sin(C) = 17.32051 = 10[tex]\sqrt{3}[/tex]
Area = [tex]\frac{ab·sin(C)}{2}[/tex] = 64.95191
Perimeter p = a + b + c = 40.98076
Semiperimeter s = [tex]\frac{a + b +c}{2}[/tex] = 20.49038
Height ha = [tex]\frac{2×Area}{a}[/tex] = 15
Height hb = [tex]\frac{2×Area}{b}[/tex] = 7.5
Height hc = [tex]\frac{2×Area}{c}[/tex] = 8.66025
Median ma = [tex]\sqrt{(a/2)^{2} + c2 - ac·cos(B)}[/tex] = 15.61249
Median mb = [tex]\sqrt{(b/2)^{2} + a2 - ab·cos(C)}[/tex] = 8.66025
Median mc = [tex]\sqrt{(c/2)^{2} + b2 - bc·cos(A)}[/tex] = 11.45644
Inradius r = [tex]\frac{Area}{s}[/tex] = 3.16987
Circumradius R = [tex]\frac{a}{2sin(A)}[/tex] = 8.66025
