Pythagorean Theorem and Slant Height

Jimmy Chang explains how to find the slant height of a shape with a base of 10 and a height of 12 using the Pythagorean theorem. He describes the slant height as the hypotenuse and demonstrates the calculation process step-by-step, emphasizing the importance of using positive values for height. The video concludes with a breakdown of the calculation, resulting in the slant height being the square root of 244.

What is another term commonly used for slant height?

• Radius

• Altitude

• Hypotenuse

• Base

In the context of a right triangle, what does the base represent?

• The horizontal length

• The slant height

• The vertical length

• The diagonal length

Which theorem is used to find the slant height in this context?

• Theorem of relativity

• Fundamental theorem of calculus

• Binomial theorem

• Pythagorean theorem

What are the values of 'a' and 'b' in the Pythagorean theorem for this problem?

• 14 and 16

• 10 and 12

• 12 and 14

• 8 and 10

What is the sum of the squares of the base and height in this problem?

• 100

• 244

• 144

• 200

What is the initial step in finding the slant height using the Pythagorean theorem?

• Subtract the base from the height

• Add the base and height

• Square the base and height

• Identify the hypotenuse

What is the value of 10 squared?

• 120

• 100

• 144

• 110

What is the value of 12 squared?

• 144

• 120

• 100

• 110

What is the next step after finding the sum of the squares in the Pythagorean theorem?

• Subtract the base from the height

• Add the base and height

• Multiply the base and height

• Take the square root of the sum

Why do we only consider the positive value of the square root in this context?

• Because negative values are not real

• Because it simplifies the calculation

• Because it is a convention

• Because height cannot be negative