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Geometry and Trigonometry Flashcards

8 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 8 Geometry and Trigonometry flashcards as text

  1. An isosceles triangle has two equal sides of length 9 and a base of 6. What is its perimeter?

    Answer: 24

    Perimeter = 9 + 9 + 6 = 24.

  2. In a right triangle, tan(30°) = ?

    Answer: 1/√3

    tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3.

  3. A right triangle has a hypotenuse of 13 and one leg of 5. What is the other leg?

    Answer: 12

    a² + 5² = 13² → a² = 169 − 25 = 144 → a = 12.

  4. What is the area of a triangle with base 10 and height 8?

    Answer: 40

    Area = (1/2) × base × height = (1/2)(10)(8) = 40.

  5. Two supplementary angles are in a ratio of 2:3. What is the measure of the larger angle?

    Answer: 108°

    Supplementary angles sum to 180°. Larger angle = (3/5) × 180° = 108°.

  6. A cylinder has radius 3 and height 10. What is its volume? (Use π ≈ 3.14)

    Answer: 282.6

    V = πr²h = 3.14 × 9 × 10 = 282.6.

  7. If cos(θ) = 5/13 in a right triangle, what is sin(θ)?

    Answer: 12/13

    Using sin²θ + cos²θ = 1: sin²θ = 1 − 25/169 = 144/169, so sinθ = 12/13.

  8. A square has a diagonal of 8√2. What is the side length of the square?

    Answer: 8

    Diagonal of square = s√2. So s√2 = 8√2 → s = 8.