Q1. What is sin A in a 3-4-5 triangle where A is opposite 3?
✔ Sine is opposite over hypotenuse. Side 3 is opposite, 5 is hypotenuse.
Q2. Which side is the hypotenuse in a right triangle?
✔ Hypotenuse is always the side opposite the right angle and longest.
Q3. What does TOA in SOH CAH TOA stand for?
✔ TOA stands for Tangent equals Opposite divided by Adjacent.
Show transcript
[Slide 1] Understanding Right Triangles
Welcome to trigonometry. We study relationships between angles and sides in right triangles. This helps solve real-world height problems.
[Slide 2] The Six Ratios
Remember SOH CAH TOA. Sine equals Opposite by Hypotenuse. Cosine and Tangent follow similar patterns.
[Slide 3] Let Us Solve One
Imagine a right-angled triangle ABC. Side BC is three units long. Side AB is four units long.
[Slide 4] Calculating the Ratios
Using Pythagoras, the hypotenuse is five. So sine A is three over five. Tangent A is three over four.
[Slide 5] Avoid This Mistake
Students often swap opposite and adjacent sides. Remember the ratio depends on your chosen angle. Check your labels carefully before writing.
[Slide 6] Key Takeaways
Identify sides correctly relative to the angle. Apply SOH CAH TOA formulas consistently. Practice more problems for board exams.