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Kaylis [27]
2 years ago
11

Please help me on this problem !

Mathematics
1 answer:
svp [43]2 years ago
4 0

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\sqrt{3}

b = c·sin(B)/sin(C) = 17.32051 = 10\sqrt{3}

Area = \frac{ab·sin(C)}{2} = 64.95191

Perimeter p = a + b + c = 40.98076

Semiperimeter s = \frac{a + b +c}{2} = 20.49038

Height ha = \frac{2×Area}{a} = 15

Height hb = \frac{2×Area}{b} = 7.5

Height hc = \frac{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 = \frac{Area}{s} = 3.16987

Circumradius R = \frac{a}{2sin(A)} = 8.66025

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