Textbook Question
Use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.
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tan 𝜋/3
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2. Trigonometric Functions on Right Triangles
Special Right Triangles
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Triangle ABC is isosceles. If angle A measures , what is the measure of angle C?
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Verified step by step guidance1
Recall that in any triangle, the sum of the interior angles is always \$180^\circ$. This is a fundamental property of triangles.
Since triangle ABC is isosceles, it has at least two equal angles. Identify which angles could be equal based on the given information.
Given that angle A measures \$30^\circ\(, consider the possibilities for the equal angles. If angle A is one of the equal angles, then the other equal angle must also be \)30^\circ$.
Calculate the measure of the third angle (angle C) by subtracting the sum of the two equal angles from \$180^\circ\( using the formula: \)\text{angle C} = 180^\circ - 2 \times 30^\circ$.
Simplify the expression to find the measure of angle C, which completes the solution.
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