Test your understanding of the second visual proof of the Pythagorean Theorem using areas, squares, and right triangles.$$a^2+b^2=c^2$$

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

Question 1

What type of triangle is used in this proof?

a) Any triangle
b) Right triangle
c) Equilateral triangle

Question 2

How many triangles are used?

a) 2
b) 3
c) 4

Question 3

What is the side of the large square?

a) a
b) b
c) a + b

Question 4

What is inside the first shape?

a) Square c
b) Squares a and b
c) No squares

Question 5

What is inside the second shape?

a) Square with side c
b) Rectangle
c) Triangle

Answers

1 → b) Right triangle
2 → c) 4
3 → c) a + b
4 → b) Squares a and b
5 → a) Square with side c

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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