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Please help me on this problem !

Please help me on this problem !-example-1
User SimonSays
by
8.3k points

1 Answer

9 votes

Answer:

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

User Rucha Bhatt Joshi
by
8.2k points

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