Exploring the Pythagorean Theorem in Right Triangles

This lesson introduces the Pythagorean Theorem, explaining its historical significance and application in geometry. The video covers the properties of right triangles and demonstrates how to use the theorem to find missing sides, including the hypotenuse and legs. Exercises illustrate handling both rational and irrational numbers. The lesson concludes with practical applications, such as finding diagonals in squares and rectangles, emphasizing the theorem's importance in mathematics.

Who is credited with the discovery of the Pythagorean theorem?

• Aristotle

• Pythagoras

• Archimedes

• Euclid

What type of triangle is the Pythagorean theorem applicable to?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Scalene triangle

In the context of the Pythagorean theorem, what does the 'c' represent?

• The area

• One of the legs

• The hypotenuse

• The perimeter

In a right triangle, if one leg is 8 cm and the other is 6 cm, what is the length of the hypotenuse?

• 12 cm

• 10 cm

• 16 cm

• 14 cm

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

• a + b = c^2

If the hypotenuse of a right triangle is 13 inches, and one leg is 5 inches, what is the length of the other leg?

• 12 inches

• 10 inches

• 14 inches

• 8 inches

If a right triangle has legs of 10 cm and 24 cm, what is the length of its hypotenuse?

• 26 cm

• 28 cm

• 34 cm

• 32 cm

When finding a missing leg in a right triangle, what additional step is required compared to finding the hypotenuse?

• Multiplication

• Division

• Subtraction

• Addition

What is the length of the diagonal in a square with sides of 5 inches?

• 7.1 inches

• 10 inches

• 8.5 inches

• 9 inches

Which has a longer diagonal, a square with 5-inch sides or a rectangle with sides of 3 inches and 7 inches?

• Cannot be determined

• Both are equal

• Rectangle

• Square