Understanding the Pythagorean Theorem

What type of triangle is the Pythagorean Theorem applicable to?

• Equilateral triangle

• Isosceles triangle

• Right-angled triangle

• Scalene triangle

In the Pythagorean Theorem, what do the letters A and B represent?

• The hypotenuse

• The two legs of the triangle

• The angles of the triangle

• The perimeter of the triangle

What is the hypotenuse in a right-angled triangle?

• The longest side opposite the right angle

• One of the two shorter sides

• The sum of the two legs

• The angle opposite the right angle

What does the expression a^2 represent in the context of the Pythagorean Theorem?

• The perimeter of the triangle

• The area of a square with side A

• The volume of a cube with side A

• The length of side A

How can you find the length of the hypotenuse if you know the lengths of the two legs?

• Use the Pythagorean Theorem

• Multiply the lengths of the legs

• Subtract the lengths of the legs

• Add the lengths of the legs

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

• 5

• 6

• 7

• 8

What should you do if given a leg and the hypotenuse to find the other leg?

• Add the squares of the given sides

• Subtract the square of the leg from the square of the hypotenuse

• Multiply the given sides

• Divide the hypotenuse by the leg

Why can't the Pythagorean Theorem be used on a triangle with sides 4 and 7?

• The sides are not equal

• The triangle is not right-angled

• The sides are too long

• The triangle is equilateral

What must you verify before using the Pythagorean Theorem?

• The triangle is equilateral

• The triangle is isosceles

• The triangle is right-angled

• The triangle is scalene

What is a common mistake when applying the Pythagorean Theorem?

• Using it on non-right-angled triangles

• Using it on equilateral triangles

• Using it on isosceles triangles

• Using it on scalene triangles