Question

Please help me on this problem !

Answer 1

x = 8.66
y = 17.321

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
`√(3)`

b = c·sin(B)/sin(C) = 17.32051 = 10
`√(3)`

Area =
`(ab·sin(C))/(2)` = 64.95191

Perimeter p = a + b + c = 40.98076

Semiperimeter s =
`(a + b +c)/(2)` = 20.49038

Height ha =
`(2×Area)/(a)` = 15

Height hb =
`(2×Area)/(b)` = 7.5

Height hc =
`(2×Area)/(c)` = 8.66025

Median ma =
`\sqrt{(a/2)^(2) + c2 - ac·cos(B)}` = 15.61249

Median mb =
`\sqrt{(b/2)^(2) + a2 - ab·cos(C)}` = 8.66025

Median mc =
`\sqrt{(c/2)^(2) + b2 - bc·cos(A)}` = 11.45644

Inradius r =
`(Area)/(s)` = 3.16987

Circumradius R =
`(a)/(2sin(A))` = 8.66025