Question

Let the angles of a triangle be α, β, and γ, with opposite sides of length a, b, and c, respectively. Use the Law of Cosines and the Law of Sines to find the remaining parts of the triangle. (Round your answers to one decimal place.) β = 60.5°; a = 4; c = 13.5 b = α = ° γ = °

Name: let the angles of a triangle be and with opposite sides of length a b and c respectively use the law of cosines and the law of sines to find the remaining parts of the triangle round your an 82114
Uploaded: 2023-09-14T00:57:09-08:00
Duration: 2 min 14 s
Channel: Maria Dearborn
Description: let the angles of a triangle be and with opposite sides of length a b and c respectively use the law of cosines and the law of sines to find the remaining parts of the triangle round your an 82114

          Let the angles of a triangle
be α, β, and γ, with
opposite sides of length a, b,
and c, respectively. Use the Law of Cosines and the
Law of Sines to find the remaining parts of the triangle. (Round
your answers to one decimal place.)
β = 60.5°;  a = 4;  c = 13.5
b
= 
α
= 
       °
γ
= 
       °

Added by Montserrat C.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Maria Dearborn

09/14/2023

Step 1

5°, a = 4, c = 13.5 Using the Law of Cosines formula: \( b = \sqrt{a^2 + c^2 - 2ac \cdot \cos(\beta)} \) Substitute the values: \( b = \sqrt{4^2 + 13.5^2 - 2(4)(13.5) \cdot \cos(60.5°)} \) Calculate: \( b = \sqrt{16 + 182.25 - 108 \cdot 0.5} = \sqrt{198.25 - 54} = Show more…

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Let the angles of a triangle be α, β, and γ, with opposite sides of length a, b, and c, respectively. Use the Law of Cosines and the Law of Sines to find the remaining parts of the triangle. (Round your answers to one decimal place.) β = 60.5°; a = 4; c = 13.5 b = α = ° γ = °