In a triangle with angles α,β,γ and opposite sides a, b, c you are given:

α=35°, β=100°, b=40.

Find all missing lengths and angles as well as the area correct to 1 decimal place.

1 answer

The missing angle γ = 45°

by the sine law:
a/sin35 = 40/sin100
a = 40sin35/sin100 = appr 23.3

c/sin45 = 40/sin100
c = 40sin45/sin100 = appr 28.7

area = (1/2)(ab)sin45
= appr 329.5 units^2
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