PHYTAGORAS

For which type of triangle is the Pythagorean theorem applicable?

• Equilateral triangles

• Isosceles triangles

• Right-angled triangles

• Obtuse triangles

How is the Pythagorean theorem visually demonstrated using squares in the video's first explanation?

• By showing that the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

• By rotating the triangle to form a circle.

• By calculating the perimeter of each square.

• By dividing the triangle into smaller equilateral triangles.

What does the Pythagorean theorem state about a right-angled triangle?

• The sum of the squares of the two shorter sides equals the square of the hypotenuse.

• The sum of all angles is 180 degrees.

• The product of the two shorter sides equals the hypotenuse.

• The perimeter is equal to the sum of its sides.

In a right-angled triangle with sides AB and CA, and hypotenuse BC, which equation correctly represents the Pythagorean theorem?

• AB + CA = BC

• AB^2 + CA^2 = BC^2

• AB^2 - CA^2 = BC^2

• AB * CA = BC

What is the primary technique used in the analytical proof of the Pythagorean theorem presented in the video?

• Using complex numbers to derive the formula.

• Duplicating and rearranging triangles to compare areas of larger squares.

• Applying principles of trigonometry to solve for side lengths.

• Measuring the angles of the triangle with a protractor.