Right-Angled Triangles: Pythagoras Theorem and Trigonometry Stage 5.3

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10 Questions

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

$a^2 + b^2 = c^2$

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

Cosine (cos)

Which step comes first when solving right-angled triangles?

Determine the known values

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

Opposite side to adjacent side

What is the definition of trigonometry with respect to triangles?

Focuses on relationships between angles of a triangle

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

Engineering

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

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

Step 3: Apply the method

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

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

Culinary Arts

Explore advanced and core concepts of the Pythagoras Theorem in right-angled triangles. Understand the definition, formula, and application of the theorem to find the length of sides.

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