Solving a triangle, given two sides and the measure of the included angleLet say you have a triangle ∠ A = 41 ∘ , side b = 3.41 and c = 5.83Can you use pythagoras theorem to find the side a? and how can you find Angle B and C

Step 1To find side a use Law Of Cosines: a 2 = b 2 + c 2 − 2 ⋅ b ⋅ c cos ⁡ αStep 2To find angles β and γ use Sine Law: a sin ⁡ α = b sin ⁡ β = c sin ⁡ γ

"Solving a triangle, given two sides and the..." was answered by our experts

Mackenzie Hawkins

Answered question

2022-09-27

Solving a triangle, given two sides and the measure of the included angle
Let say you have a triangle

∠ A = 41^{\circ}

, side

b = 3.41

and

c = 5.83

Can you use pythagoras theorem to find the side a? and how can you find Angle B and C

Answer & Explanation

Santiago Collier

Beginner2022-09-28Added 8 answers

Step 1
To find side a use Law Of Cosines:

a^{2} = b^{2} + c^{2} - 2 \cdot b \cdot c \cos α

Step 2
To find angles

β

and

γ

use Sine Law:

\frac{a}{\sin α} = \frac{b}{\sin β} = \frac{c}{\sin γ}

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