Finding Missing Side Lengths in Right Triangles

Miss Casius explains the Pythagorean Theorem, focusing on identifying triangle sides and using the theorem to find missing side lengths. She demonstrates how to calculate both missing hypotenuses and legs, emphasizing the difference in approach. The video includes examples and mixed problems to reinforce understanding.

What are the names of the shorter sides of a right triangle?

• Legs

• Hypotenuse

• Diagonals

• Base and Height

What is the formula of the Pythagorean theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a + b = c^2

• a^2 + b^2 = c^2

What is the first step in using the Pythagorean theorem?

• Identify the right angle

• Label the sides a, b, and c

• Calculate the square root

• Plug in the values into the formula

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

• The perimeter

• The hypotenuse

• One of the legs

• The area

How do you find the hypotenuse if the legs are 3 and 4 units?

• 6 units

• 5 units

• 7 units

• 9 units

When finding the hypotenuse, what mathematical operation is used with the squares of the legs?

• Addition

• Subtraction

• Division

• Multiplication

If a right triangle has legs of lengths 6 units and 8 units, what is the length of the hypotenuse?

• 12 units

• 10 units

• 9 units

• 14 units

What operation do you perform to find a missing leg in a right triangle?

• Subtraction

• Addition

• Division

• Multiplication

If the hypotenuse is 13 units and one leg is 5 units, how long is the other leg?

• 12 units

• 14 units

• 8 units

• 10 units

In a right triangle, if one leg is 8 units and the hypotenuse is 17 units, what is the length of the other leg?

• 11 units

• 15 units

• 9 units

• 10 units