Understanding the Pythagorean Theorem

What is a theorem in mathematics?

• An equation that defines mathematical relationships

• A theory that is widely accepted but not proven

• A statement that has been proven to be true

• A problem that is yet to be solved

Who is credited with proving the Pythagorean Theorem?

• Archimedes

• Pythagoras

• Euclid

• Aristotle

Tags

CCSS.HSG.SRT.B.4

What does the Pythagorean Theorem state?

• 'a squared' plus 'b squared' equals 'c cubed'

• 'a' plus 'b' equals 'c squared'

• 'a squared' minus 'b squared' equals 'c squared'

• 'a squared' plus 'b squared' equals 'c squared'

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Which triangles does the Pythagorean Theorem apply to?

• All triangles

• Equilateral triangles

• Right triangles

• Isosceles triangles

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the significance of the '3, 4, 5 triangle' in relation to the Pythagorean Theorem?

• It disproves the theorem

• It is an example of an isosceles triangle

• It is a special case that demonstrates the theorem's truth

• It is the only set of numbers that works with the theorem

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

How can the Pythagorean Theorem be used in real life?

• To calculate the perimeter of polygons

• To determine the volume of a sphere

• To find the length of an unknown side of a right triangle

• To calculate the area of circles

Tags

CCSS.HSG.SRT.C.8

What is the length of the hypotenuse in a right triangle with legs of 2 cm and 3 cm?

• 5 cm

• The square root of 13 cm

• 4 cm

• 3.5 cm

Tags

CCSS.HSG.SRT.C.8

What is the diagonal length of a unit square?

• The square root of 2 units

• 2 units

• 1 unit

• 1.5 units

Tags

CCSS.HSG.SRT.C.8

How can you test if a triangle is a right triangle using the Pythagorean Theorem?

• By checking if it has a right angle symbol

• By calculating the area

• By measuring each angle

• By verifying if 'a squared' plus 'b squared' equals 'c squared'

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Why is practicing math problems important according to the video?

• To memorize formulas

• To improve calculation speed

• To understand mathematical concepts deeply

• To pass exams