Mathematics: Please help me on this problem !

Please help me on this problem ! - id15264367, ygneely

joybeth9591

07.02.2022

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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