Pythagorean Theorem and Square Roots

The video tutorial explains how to apply the Pythagorean theorem to solve for unknown sides in right-angled triangles. It covers five different problems, each demonstrating the process of isolating the unknown variable and performing calculations to find its value. The tutorial includes examples of finding side lengths as integers, surds, and decimal approximations, emphasizing the importance of understanding the theorem's application in various contexts.

What is the first step in applying the Pythagorean theorem to find the value of B?

• Calculate the area of the triangle

• Identify the hypotenuse

• Find the perimeter of the triangle

• Measure the angles

In the context of the Pythagorean theorem, what does the hypotenuse represent?

• The longest side of the triangle

• The shortest side of the triangle

• The side opposite the smallest angle

• The side adjacent to the right angle

How do you isolate B in the equation B^2 + 4^2 = 5^2?

• Multiply both sides by 4

• Add 4^2 to both sides

• Divide both sides by 4

• Subtract 4^2 from both sides

What is the square root of 9?

• 3

• 6

• 5

• 4

What is the value of B in the triangle?

• 6

• 5

• 3

• 4

What is the first step in finding the value of C as a surd?

• Write the Pythagorean theorem

• Find the perimeter

• Measure the angles

• Calculate the area

What is the hypotenuse in the triangle where C is to be found?

• 6

• 7

• 4

• 5

How do you express C in terms of a surd?

• Leave the square root symbol

• Remove the square root symbol

• Divide by 2

• Multiply by 2

What is the value of C as a surd?

• √33

• √16

• √49

• √25

What is the first step in calculating the value of a to two decimal places?

• Calculate the area

• Measure the angles

• Apply the Pythagorean theorem

• Find the perimeter