find the area of the given triangle.
round your answer to the nearest tenth. do not round any intermediate computations.

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Right Triangle Trigonometry" ], "new_concepts": [ "Area of Right Triangle" ], "current_concepts": [ "Right Triangle Trigonometry", "Area of Right Triangle" ] } ## Calculate the base of the right triangle $$ \begin{aligned} &\tan(59^\circ) = \frac{12}{b} \ &b = \frac{12}{\tan(59^\circ)} \approx 7.2101 \end{aligned} $$ ## Calculate the area of the triangle $$ \begin{aligned} &\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \ &\text{Area} = \frac{1}{2} \times \frac{12}{\tan(59^\circ)} \times 12 \ &\text{Area} = \frac{72}{\tan(59^\circ)} \approx 43.2607 \end{aligned} $$ ## Round to the nearest tenth $$ \text{Area} \approx 43.3 $$ Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any intermediate computations. 43.3 square units { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Area of Right Triangle" ] }

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Question

Explanation:

Calculate the base of the right triangle

Calculate the area of the triangle

Round to the nearest tenth

Answer: