Question

Please help me ASAP. This is for Trigonometry, Math

Answer 1

Answer: C) exactly one triangle

Explanation:

Given: ∠A = 45°, ∠B = 65°, side c = 4 cm

By the Triangle Sum Theorem, ∠C = 70°

Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

`(\sin\angle A)/(a)=(\sin\angle B)/(b)=(\sin\angle C)/(c)\\\\\\(\sin 45^o)/(a)=(\sin65^o)/(b)=(\sin70^o)/(4)`

Thus, there is exactly one triangle.