<u>Answer</u>
<u>Right Scalene Triangle</u>
Side a (X) = 14.91038 (To the nearest hundreth: 14.91)
Side b = 7
Side c = 13.16509
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 28° = 0.48869 rad
Angle ∠C = 62° = 1.0821 rad
Calculations:
alculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 1.0821 rad = 62°
a = b·sin(A)/sin(B) = 14.91038
c = b·sin(C)/sin(B) = 13.16509
Area =
ab·sin(C)
2
= 46.0778
Perimeter p = a + b + c = 35.07547
Semiperimeter s =
a + b +c
2
= 17.53773
Height ha =
2×Area
a
= 6.18063
Height hb =
2×Area
b
= 13.16509
Height hc =
2×Area
c
= 7
Median ma = √(a/2)2 + c2 - ac·cos(B) = 7.45519
Median mb = √(b/2)2 + a2 - ab·cos(C) = 13.62239
Median mc = √(c/2)2 + b2 - bc·cos(A) = 9.60884
Inradius r =
Area
s
= 2.62735
Circumradius R =
a
2sin(A)
= 7.45519
