Question

Please help!

Solve the triangle ABC if A = 35.3° and c= 4.1 mm.

B= __°

a= __ mm (round to nearest thousandth)

b= __ mm(round to nearest thousandth)

Answer 1

all angles in a triangle add to 180 so B is

B = 180 - 90 - A
B = 90 - 35.3
B = 54.7°

Can find a with sine of A

sin(A) = a / c
a = c sin(A)
a = 4.1 sin(35.3)
a = 2.37 mm

Can find b with cosine of a

cos(A) = b / c
b = c cos(A)
b = 4.1 cos(35.3)
b = 3.35 mm

B = 54.7°, a = 2.37 mm, b = 3.35 mm