Pythagorean Theorem Quiz

Who is credited with developing the relationship known as the Pythagoras Theorem?

• Albert Einstein

• Isaac Newton

• Pythagoras

• Galileo Galilei

What does the Pythagoras Theorem state about a right-angled triangle?

• The sum of the angles is 180 degrees.

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The hypotenuse is equal to the base.

• The triangle is equilateral.

If a right triangle has sides of 8 cm and 6 cm, what is the length of the hypotenuse?

• 12 cm

• 10 cm

• 14 cm

• 9 cm

In a right-angled triangle, if AB = 25 cm and AC = 15 cm, what is the length of BC?

• 30 cm

• 20 cm

• 10 cm

• 25 cm

Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.

• 30 cm

• 25 cm

• 20 cm

• 15 cm

Show that the triangle ABC is a right-angled triangle if AB = 9 cm, BC = 40 cm, and AC = 41 cm.

• 41² = 40² + 9²

• 41² = 39² + 10²

• 41² = 38² + 11²

• 41² = 37² + 12²

In triangle PQR, ∠Q = 90°, find PQ, if PR = 34 cm and QR = 30 cm.

• 16 cm

• 18 cm

• 20 cm

• 22 cm

In triangle XYZ, ∠Y = 90°, find the length of XZ if XY = 12 cm and YZ = 16 cm.

• 25 cm

• 15 cm

• 18 cm

• 20 cm

Which of the following is a Pythagorean triplet?

• All of the above

• 7, 24, 25

• 6, 8, 10

• 5, 12, 13

If a right triangle has a hypotenuse of 13 cm and one side of 5 cm, what is the length of the other side?

• 10 cm

• 9 cm

• 8 cm

• 12 cm