Year 9 / Grade 9 • Daily Maths Drill
Pythagoras and Right-Triangle Trigonometry
Use Pythagoras and basic trigonometric ratios in right triangles.
8 questions • 240-question rotating bank • 30 different sets before a full cycle repeats
8Questions
240Question bank
0Best score
💡 Quick Review
Pythagoras and Right-Triangle Trigonometry
SOH–CAH–TOA connects an angle to opposite, adjacent and hypotenuse side lengths.
Key ideas
- Pythagoras
- sine
- cosine
- tangent
- unknown sides and angles
Formula / rule: sinθ=opp/hyp; cosθ=adj/hyp; tanθ=opp/adj.
Worked example: if opp=6 and hyp=10, sinθ=0.6.
Common trap: Opposite and adjacent depend on which acute angle is chosen.
Key words
hypotenuse — side opposite 90°
opposite — side opposite chosen angle
adjacent — non-hypotenuse side next to chosen angle
sine — opp/hyp
tangent — opp/adj
How to use this drill: review the short notes when learning, then close them on later attempts and practise from memory. The rotating bank delays a full set repeat for 30 attempts on the same browser.