Right-Angled Triangles (Pythagoras & Trigonometry)

Right-Angled Triangles (Pythagoras & Trigonometry) Quiz

Spec E6.1–2 · Cambridge IGCSE Maths: Quiz

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  1. 1. A right-angled triangle has legs of 9 cm and 12 cm. What is the length of the hypotenuse?

    • A. 15 cm
    • B. 21 cm
    • C. 13 cm
    • D. 10.5 cm

  2. 2. In a right-angled triangle, θ=40°\theta = 40°, hypotenuse = 10 cm. Which ratio finds the side opposite θ\theta?

    • A. sin⁡θ=opphyp\sin\theta = \frac{opp}{hyp}
    • B. cos⁡θ=adjhyp\cos\theta = \frac{adj}{hyp}
    • C. tan⁡θ=oppadj\tan\theta = \frac{opp}{adj}
    • D. sin⁡θ=hypopp\sin\theta = \frac{hyp}{opp}

  3. 3. A ladder leans against a wall, reaching 4 m up and its foot is 3 m from the wall. What angle does it make with the ground?

    • A. 53.1°
    • B. 36.9°
    • C. 45.0°
    • D. 60.0°

  4. 4. From a cliff top, the angle of depression to a boat is 25°. If the cliff is 50 m high, what is the horizontal distance to the boat?

    • A. 107.2 m
    • B. 23.3 m
    • C. 55.2 m
    • D. 45.3 m

  5. 5. Why is the perpendicular distance from a point to a line the shortest distance?

    • A. Because any other line to the point forms a hypotenuse longer than the perpendicular leg
    • B. Because it always equals the hypotenuse
    • C. Because parallel lines never meet
    • D. Because it is measured using bearings

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