Pitagoras

Which of the following is NOT a condition for using Pythagoras' Theorem?

• The triangle must be a right-angled triangle.

• You need to know the length of at least two sides.

• There must be one missing length you are trying to find.

• The triangle must be an equilateral triangle.

In the Pythagorean theorem (a² + b² = c²), what does 'c' represent?

• One of the shorter sides of the triangle.

• The longest side of the triangle, opposite the right angle.

• The area of the triangle.

• The perimeter of the triangle.

If a right-angled triangle has sides of length 3 and 4, what is the length of the hypotenuse?

• 5

• 7

• 25

• 12

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A right-angled triangle has two shorter sides measuring 1.7 cm and 3.2 cm. What is the length of the hypotenuse, rounded to three significant figures?

• 3.62 cm

• 3.45 cm

• 13.1 cm

• 4.9 cm

In a right-angled triangle XYZ, if angle XYZ is 90°, and the lengths of XY and YZ are given, which side represents the hypotenuse?

• XY

• YZ

• XZ

• It depends on the specific lengths.