Finding Side Lengths in Right Triangles with the Pythagorean Theorem

This video tutorial explains the Pythagorean theorem, which applies to right triangles. It covers three examples: calculating the hypotenuse of a 3-4-x triangle, finding a missing leg when the hypotenuse is known, and determining a non-integer hypotenuse. The video also discusses Pythagorean triples and provides both exact and approximate solutions.

What type of triangles does the Pythagorean theorem apply to?

• Isosceles triangles

• Equilateral triangles

• Right triangles

• Scalene triangles

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c

• a + b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

What does the 'c' in the Pythagorean theorem formula represent?

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

In a 3-4-5 triangle, what does the 5 represent?

• The area

• The perimeter

• The hypotenuse

• One of the legs

How do you find the length of the hypotenuse in a right triangle?

• Square root of the sum of the squares of the legs

• Multiply the lengths of the two legs

• Subtract the square of one leg from the other

• Add the squares of the legs

If the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

• 12

• 13

• 5

• 6

What operation is used to solve for a leg or the hypotenuse in the Pythagorean theorem?

• Multiplication

• Subtraction

• Square root

• Addition

What is a Pythagorean triple?

• A triangle with three equal sides

• A formula to calculate the area of a triangle

• A set of three numbers that satisfy the Pythagorean theorem

• A set of three prime numbers

What is the approximate length of the hypotenuse when the legs are 6 and 9?

• 9.5

• 12

• 15

• 10.82

Why might the square root of the sum of the squares of the legs not be a whole number?

• Not all triangles are Pythagorean triples

• The triangle is not a right triangle

• The theorem is applied incorrectly

• The measurements are incorrect