randomusernoworries
randomusernoworries randomusernoworries
  • 14-03-2020
  • Mathematics
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Please help me ASAP. This is for Trigonometry, Math

Please help me ASAP This is for Trigonometry Math class=

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tramserran
tramserran tramserran
  • 14-03-2020

Answer:  C) exactly one triangle

Step-by-step 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.

[tex]\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}[/tex]

Thus, there is exactly one triangle.

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