Question

What are the approximate values of the missing side lengths in the triangle below?

120 m

404

BC 136m, AB 89m

BC 89m. AB 136m

BC 105m, AB 162m

BC 162m, AB 106m

Answer 1

Answer:

BC 136m, AB 89m

Step-by-step explanation:

Find the diagram attached

According to sin rule;

a/sinA = b/sinB = c/sinC

From the diagram;

b = 120m

<B = 60degrees

<C = 40degrees

From the sine formula

b/sinB = c/sinC

120/sin60 = c/sin40

csin60 = 120sin40

c = 120sin40/sin60

c = 120(0.6428)/0.8660

c = 77.1345/0.8660

c = 89.06

c = AB = 89m

Get BC;

According to the sine rule

a/sinA = b/sinB

a/sin(180-100) = 120/sin60

a/sin80 = 120/sin60

asin60 = 120sin80

a = 120sin80/sin60

a = 120(0.9848)/0.8660

a = 118.177/0.8550

a = 136.46

Hence a = BC = 136m