Trigonometry & Inverse Trigonometry
Triangle Properties
Grade 11

Question:

<p>If in a triangle ABC; ∠C = π/8; a = √2; b = √(2 + √2) then the measure of ∠A can be:</p>
<p>(a) 45°</p>
<p>(b) 135°</p>
<p>(c) 30°</p>
<p>(d) 150°</p>

Step-by-Step Solution

Key Concept: Apply the sine rule to relate sides and angles in a triangle
<p>Using the sine rule: $\frac{a}{\sin A} = \frac{b}{\sin B}$</p><p>With $\angle C = \frac{\pi}{8}$, $a = \sqrt{2}$, $b = \sqrt{2 + \sqrt{2}}$, we find $\angle A = 45°$</p>
Correct Answer: A

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