Test your understanding of the visual proof of the Pythagorean Theorem, including right triangles, areas, and the formula:$$a^2+b^2=c^2$$

Try to answer the questions before checking the answers at the bottom of the page.

Question 1

What type of triangle is used in the Pythagorean Theorem?

a) Any triangle
b) Right triangle
c) Isosceles triangle

Question 2

Which side is the hypotenuse?

a) Shortest side
b) Side opposite 90°
c) Any side

Question 3

What is the formula?

a) a + b = c
b) a² + b² = c²
c) ab = c

Question 4

What is the area of the large square?

a) a² + b²
b) (a + b)²
c) c²

Question 5

What is the area using triangles and square?

a) c²
b) 2ab
c) c² + 2ab

Answers

1 → b) Right triangle
2 → b) Side opposite 90°
3 → b) a² + b² = c²
4 → b) (a + b)²
5 → c) c² + 2ab

Practice

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Continue Learning

1. Pythagorean Formula
2. Pythagoras Theorem (a² + b² = c²) – Visual Proof 1
3. Pythagoras Theorem (a² + b² = c²) – Visual Proof 2
4. Pythagoras Theorem (Example)

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