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
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
1 answer