SAT Math Practice Question #2559 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2559

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In a 30-60-90 triangle, the side opposite the $60^\circ$ angle has length $6\sqrt{3}$. What is the length of the hypotenuse?
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Geometry & Trig Rule: Always sketch the triangle or circle and check for standard Pythagorean triples (3-4-5, 5-12-13, 7-24-25, 8-15-17).

Masterclass Solution & Distractor Trap Analysis

In 30-60-90, the sides are $x, x\sqrt{3}, 2x$. Here $x\sqrt{3} = 6\sqrt{3} \implies x = 6$. The hypotenuse is $2x = 12$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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