Pythagorean Theorem

What does the Pythagoras theorem state?

• The area of a triangle is half the base times the height.

• In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

• In any triangle, the sum of the angles is 180 degrees.

Which side is the hypotenuse in a right-angled triangle?

• The side adjacent to the right angle

• The side opposite to the right angle

• The side opposite to the largest angle

• The side opposite to the smallest angle

What is the formula for the Pythagorean theorem?

• a^2 = b^2 + c^2

• a + b = c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

If the sides of a right triangle are 3 cm, 4 cm, and 5 cm, which side is the hypotenuse?

• None of the above

• 3 cm

• 4 cm

• 5 cm

What is the length of the hypotenuse if the other two sides of a right triangle are 6 cm and 8 cm?

• 10 cm

• 12 cm

• 14 cm

• 16 cm

Which of the following is a Pythagorean triple?

• 3, 4, 5

• 5, 6, 7

• 7, 8, 9

• 8, 9, 10

What is the length of the diagonal of a square with side length 4 cm?

• 4 cm

• 4√2 cm

• 4√3 cm

• 8 cm

Which of the following is NOT an application of the Pythagoras theorem?

• Determining if a triangle is right-angled

• Calculating the area of a circle

• Finding the length of any side in a right-angled triangle

• Finding the diagonal of a square

If a triangle has sides 10 cm, 24 cm, and 26 cm, is it a right-angled triangle?

• Yes, because 10^2 + 24^2 = 26^2

• No, because 10^2 + 24^2 ≠ 26^2

• Yes, because 10 + 24 > 26

• No, because 10 + 24 < 26

Which of the following is true about the Pythagorean theorem?

• It is used to find the perimeter of a triangle

• It is used to find the area of a triangle

• It is only applicable to right-angled triangles

• It can be applied to any triangle