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Right-Angled Triangles: Pythagoras Theorem and Trigonometry Stage 5.3

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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?

Opposite side to adjacent side Signup and view all the answers

What is the definition of trigonometry with respect to triangles?

Focuses on relationships between angles of a triangle Signup and view all the answers

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

Engineering 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?

75 degrees Signup and view all the answers

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

Step 3: Apply the method 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?

Pythagoras theorem Signup and view all the answers

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

Culinary Arts Signup and view all the answers