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Right Triangles and Trigonometry Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Right Triangles and Trigonometry flashcards as text

  1. A right triangle has legs of 20 and 21. What is the length of the hypotenuse?

    Answer: 29

    c = √(20² + 21²) = √(400 + 441) = √841 = 29.

  2. In right triangle ABC with right angle at C, sin(A) = 5/13. What is the length of AC if AB = 26?

    Answer: 24

    BC/AB = 5/13; BC = 10; AC = √(26² − 10²) = √(676 − 100) = √576 = 24.

  3. An observer stands 50 meters from a building. The angle of elevation to the roof is 60°. How tall is the building?

    Answer: 50√3

    tan(60°) = √3 = height/50; height = 50√3.

  4. A 30-60-90 triangle has the longer leg = 12. What is the hypotenuse?

    Answer: 8√3

    Shorter leg = 12/√3 = 4√3; hypotenuse = 2 × 4√3 = 8√3.

  5. In right triangle GHI with right angle at H, GH = 8 and GI = 17. What is cos(G)?

    Answer: 8/17

    cos(G) = adjacent/hypotenuse = GH/GI = 8/17.

  6. Two right triangles are similar with similarity ratio 2:5. If the perimeter of the smaller is 24, what is the perimeter of the larger?

    Answer: 60

    Perimeters scale linearly with the similarity ratio: 24 × (5/2) = 60.

  7. In right triangle ABC with right angle at C, angle A = 30° and BC = 4. What is the length of AB?

    Answer: 8

    sin(30°) = BC/AB = 4/AB = 1/2; AB = 8.