Question

construct triangle ABC, if AB=6cm, m<ABC=95degree and m<BCA=50 degree ​

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 = 0.61087 rad = 35°

a = c·sin(A)/sin(C) = 4.49251

b = c·sin(B)/sin(C) = 7.80264

Area =

ab·sin(C)

2

= 13.42623

Perimeter p = a + b + c = 18.29514

Semiperimeter s =

a + b +c

2

= 9.14757

Height ha =

2×Area

a

= 5.97717

Height hb =

2×Area

b

= 3.44146

Height hc =

2×Area

c

= 4.47541

Median ma = √(a/2)2 + c2 - ac·cos(B) = 6.58748

Median mb = √(b/2)2 + a2 - ab·cos(C) = 3.58762

Median mc = √(c/2)2 + b2 - bc·cos(A) = 5.61533

Inradius r =

Area

s

= 1.46774

Circumradius R =

a

2sin(A)

= 3.91622