Question

Round your answer to the nearest hundredth.

Answer 1

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

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

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror