Answer:
Side a = 1
Side b = 0.5
Side c = 0.86603 = √3/2
Nearest tenths is 0.9
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates 2 sides based on 3 given angles and 1 side.
b = a·sin(B)/sin(A) = 0.5
c = a·sin(C)/sin(A) = 0.86603 = √3/2
Area =
ab·sin(C)
2
= 0.21651
Perimeter p = a + b + c = 2.36603
Semiperimeter s =
a + b +c
2
= 1.18301
Height ha =
2×Area
a
= 0.43301
Height hb =
2×Area
b
= 0.86603
Height hc =
2×Area
c
= 0.5
Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5
Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139
Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144
Inradius r =
Area
s
= 0.18301
Circumradius R =
a
2sin(A)
= 0.5
0.86 is more than 0.85 so the nearest tenths place has to be 0.9
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