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maksim [4K]
2 years ago
10

In ABC find a if b = 2, C = 6, and A=35° Show work plzz!!!!

Mathematics
2 answers:
Nookie1986 [14]2 years ago
3 0

This problem cannot satisfy the triangle inequality. The triangle cannot be constructed and therefore solved.  

a = 35

b = 2

c = 6

b+c ≤ a

2 + 6 ≤ 35

41 ≤ 35

The sum of the lengths of sides b, c must be greater than the length of the remaining side a.

Lilit [14]2 years ago
3 0

Answer:

a=1.749

Step-by-step explanation:

<u>Recall Law of Sines</u>

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

<u>Solve for angle B</u>

A^\circ+B^\circ+C^\circ=180^\circ\\35^\circ+B^\circ+6^\circ=180^\circ\\41^\circ+B^\circ=180^\circ\\B^\circ=139^\circ

<u>Determine side "a" given angle B and side "b"</u>

\frac{sin(35)^\circ}{a}=\frac{sin(139^\circ)}{2}\\ asin(139^\circ)=2sin(35^\circ)\\a=\frac{2sin(35^\circ)}{sin(139^\circ)}\\ a\approx1.749

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Good morning from Canada!

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