Pythagorean Theorem and Triangle Properties

This video tutorial provides a quick overview of Pythagoras's theorem, explaining the formula A^2 + B^2 = C^2, where C is the hypotenuse of a right triangle. It demonstrates how to apply the theorem to calculate the hypotenuse and solve for a missing side using examples. The process involves substituting values into the formula, performing calculations, and using a calculator to find square roots.

What is the formula for Pythagoras's Theorem?

• A^2 + B^2 = C

• A + B = C^2

• A^2 + B^2 = C^2

• A^2 - B^2 = C^2

In a right-angled triangle, which side is always the longest?

• Side A

• Any side

• Side B

• The hypotenuse

What must be true about a triangle to use Pythagoras's Theorem?

• It must be an isosceles triangle

• It must be a scalene triangle

• It must be a right-angled triangle

• It must be an equilateral triangle

Which side is opposite the right angle in a right-angled triangle?

• Side B

• Side A

• The hypotenuse

• Any side

If A = 12 and B = 5, what is the value of C?

• 10

• 13

• 17

• 15

What operation is used to solve for C in the equation A^2 + B^2 = C^2?

• Multiplication

• Square root

• Subtraction

• Addition

What is the first step in solving for a missing side using Pythagoras's Theorem?

• Add the squares of the known sides

• Subtract the squares of the known sides

• Multiply the known sides

• Divide the known sides

What is the result of the square root of 169?

• 14

• 11

• 12

• 13

If the hypotenuse is 13, what could be the possible lengths of the other two sides?

• 5 and 12

• 6 and 8

• 8 and 10

• 7 and 9

If C = 15 and A = 6, how do you find B?

• Divide 15 by 6 and square root the result

• Multiply 6 by 15 and square root the result

• Subtract 6^2 from 15^2 and square root the result

• Add 6^2 to 15^2 and square root the result