Trigonometry and Pythagoras Quiz
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5 questions, one answer each
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1. A right-angled triangle has a hypotenuse of 13 cm and one side of 5 cm. What is the length of the other side?
- A. 12 cm
- B. 8 cm
- C. 9 cm
- D. 11 cm
2. What is the exact value of cos 60°?
- A. √3/2
- B. 1/2
- C. √2/2
- D. √3
3. In a right-angled triangle, the side opposite angle θ is 7 cm and the hypotenuse is 10 cm. Which trigonometric ratio should you use to find θ?
- A. tan θ
- B. sin θ
- C. cos θ
- D. sin⁻¹(10/7)
4. A cuboid has dimensions 3 cm, 4 cm and 5 cm. Using Pythagoras' theorem in 3D, what is the length of the space diagonal?
- A. 7.07 cm
- B. 8.50 cm
- C. 12 cm
- D. 6.40 cm
5. A triangle has sides of 8 cm, 10 cm and an included angle of 55°. Which formula would you use to find the area of this triangle?
- A. ½ × base × height
- B. ½ab sin C
- C. s(s-a)(s-b)(s-c) where s is the semi-perimeter
- D. a/sin A = b/sin B