Exploring the Pythagorean Theorem

This video tutorial reviews the Pythagorean Theorem, focusing on its application to right triangles. It explains how to identify the sides of a right triangle, including the hypotenuse, and provides step-by-step examples of calculating missing sides using the theorem. The video also covers how to find the diagonal of a rectangle, reinforcing the concept with practical examples.

What type of triangle is the Pythagorean theorem applicable to?

• Acute triangle

• Isosceles triangle

• Equilateral triangle

• Right triangle

What is the first step in applying the Pythagorean theorem to a right triangle?

• Identify the right angle

• Measure all sides of the triangle

• Calculate the area of the triangle

• Identify the longest side

Which side of the triangle is always opposite the right angle?

• Side c (hypotenuse)

• None of the above

• Side b

• Side a

How do you calculate the area of a square formed by side a of length 7 units?

• 14 units squared

• 49 units squared

• 21 units squared

• 28 units squared

If side a is 3 units and side b is 4 units, what is the length of side c?

• 5 units

• 7 units

• 9 units

• 12 units

What is the result of adding the areas of two smaller squares to find the area of the larger square in a right triangle?

• The area of the hypotenuse square

• The difference in side lengths

• The sum of angles

• The perimeter of the triangle

In a right triangle, if the squares of sides a and b are 49 and 121 respectively, what is the length of side c?

• 17 units

• 13 units

• 12 units

• 20 units

What method can be used to verify if the calculated length of the hypotenuse is reasonable?

• Comparing it to the area of the triangle

• Multiplying the lengths of the other two sides

• Checking if it's the longest side

• Subtracting the lengths of the other two sides

For a rectangle with sides 8 miles and 6 miles, what is the length of the diagonal?

• 10 miles

• 14 miles

• 8 miles

• 6 miles

How do you find the side length of a square if you know its area is 100 square units?

• 10 units

• 20 units

• 50 units

• 100 units