Right-Angled Triangles: Pythagoras Theorem and Trigonometry Stage 5.3

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Questions and Answers

What is the formula for the Pythagoras Theorem in a right-angled triangle?

  • $c^2 = a + b$
  • $c = a^2 + b^2$
  • $a^2 + b^2 = c^2$ (correct)
  • $c = rac{a}{b}$

Which trigonometric ratio involves the ratio of the adjacent side to the hypotenuse in a right-angled triangle?

  • Sine (sin)
  • Cosine (cos) (correct)
  • Tangent (tan)
  • None of the above

Which step comes first when solving right-angled triangles?

  • Use Pythagoras theorem first
  • Determine the known values (correct)
  • Apply trigonometric ratios directly
  • Identify the unknown angles

In trigonometry, what does the tangent (tan) function represent in a right-angled triangle?

<p>Opposite side to adjacent side (C)</p> Signup and view all the answers

What is the definition of trigonometry with respect to triangles?

<p>Focuses on relationships between angles of a triangle (B)</p> Signup and view all the answers

Which real-world application of trigonometry involves designing and building infrastructure projects?

<p>Engineering (D)</p> Signup and view all the answers

What is the measure of the acute angle in a right-angled triangle with one leg of length 8 cm and a hypotenuse of length 10 cm?

<p>75 degrees (B)</p> Signup and view all the answers

In what step of solving a trigonometry problem is Pythagoras theorem used?

<p>Step 3: Apply the method (A)</p> Signup and view all the answers

Which trigonometric ratio can be used to find the length of the hypotenuse in a right-angled triangle with legs of length 3 cm and 4 cm?

<p>Pythagoras theorem (D)</p> Signup and view all the answers

Which of the following is NOT a real-world application of trigonometry?

<p>Culinary Arts (D)</p> Signup and view all the answers

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