ACT Math Practice Question #1462 (Hard (34)) | Test Citadel
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ACT Math Difficulty: Hard (34)

Digital ACT Math Practice Question #1462

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In triangle ABC, side a = 5, side b = 12, and angle A = 30°. How many distinct triangles can be formed with these measurements?
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Altitude h = 12 * sin(30°) = 6. Since a = 5 < 6, the side cannot reach the base: exactly 0 triangles can be formed.

Masterclass Solution & Distractor Trap Analysis

The altitude from C to side c is h = b * sin(A) = 12 * sin(30°) = 12 * 0.5 = 6. Since side a = 5 is less than the altitude h = 6, side a is too short to reach the opposite side. Thus, NO triangle can be formed... wait! If a < h, then 0 tria...

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

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