Pyrthagoras' Theorem and Trigonometry

What kind of triangles does the Pyrthagoras' Theorem work with?

• Right-angled triangles

• Left-angled triangles

• Isosceles triangles

• Equilateral triangles

Hypotenuse is the _________ side of a right-angled triangle.

• shortest

• longest

• opposite

• adjacent

If the two sides of a right-angled triangle is labelled a & b and the hypotenuse is labelled c, what's the relationship between a, b & c?

• a² - b² = c²

• a² + c² = b²

• b² + c² = a²

• a² + b² = c²

Identify the hypotenuse

• a

• b

• c

Determine whether a triangle with side lengths of 3 cm, 4 cm, and 5 cm is right-angled.

• Yes

• No

Determine whether a triangle with side lengths of 15 cm, 10 cm, and 12 cm is right-angled.

• Yes

• No

Use a calculator to calculate the length of the hypotenuse of the triangle, correct to nearest whole centimetre

• 8 cm

• 7 cm

• 7.8 cm

• 11 cm

What's the equation for sin θ?

• sin θ = Hypotenuse/Opposite

• sin θ = Adjacent/Hypotenuse

• sin θ = Opposite/Hypotenuse

• sin θ = Hypotenuse/Adjacent

What's the equation for cos θ?

• cos θ = Adjacent/Hypotenuse
• cos θ = Opposite/Hypotenuse
• cos θ = Opposite/Adjacent
• cos θ = Hypotenuse/Adjacent

What's the equation for tan θ?

• tan θ = Opposite/Hypotenuse

• tan θ = Opposite/Adjacent

• tan θ = Hypotenuse/Opposite

• tan θ = Adjacent/Hypotenuse