Question

Construct a angleB <= 4.5 degrees and triangle ABC in AB-AC = 2.5 Gen. which Bc = 4.5/c​

Answer 1

Answer:

The following is one way to perform the calculation. It may not be the best way.

Calculated based on 2 given angles and 1 given side.

∠A = 180° - B - C = 2.19039 rad = 125.5° = 125°30'0"

b = a·sin(B)/sin(A) = 0.43368

c = a·sin(C)/sin(A) = 4.23429

Area =

ab·sin(C)

2

= 0.74749

Perimeter p = a + b + c = 9.16797

Semiperimeter s =

a + b +c

2

= 4.58398

Height ha =

2×Area

a

= 0.33222

Height hb =

2×Area

b

= 3.4472

Height hc =

2×Area

c

= 0.35307

Median ma = √(a/2)2 + c2 - ac·cos(B) = 1.99903

Median mb = √(b/2)2 + a2 - ab·cos(C) = 4.36378

Median mc = √(c/2)2 + b2 - bc·cos(A) = 2.39515

Inradius r =

Area

s

= 0.16307

Circumradius R =

a

2sin(A)

= 2.76374