Triangle Properties and Exponential Functions

The video tutorial covers examples 9 to 13 using the Pythagorean theorem to determine if given side lengths form right triangles. It revisits previous examples for review and emphasizes the importance of neat and organized work. The tutorial also explains how to use the triangle inequality theorem to verify if side lengths can form a triangle. The session concludes with a discussion on how students will be assessed on similar problems.

What is the first step before determining if a triangle is right-angled?

• Check if the triangle is equilateral

• Determine the type of angles in the triangle

• Verify if the given values can form a triangle

• Calculate the area of the triangle

What does c^2 need to equal for a triangle to be right-angled?

• a^2 / b^2

• a^2 + b^2

• a^2 - b^2

• a^2 * b^2

In Example 9, what are the side lengths used to verify the right triangle?

• 3, 4, 5

• 5, 6, 8

• 10, 11, 14

• 8, 4, 3

What is the result of 8 squared in Example 9?

• 16

• 64

• 48

• 32

In Example 10, what is the sum of 11 squared and 10 squared?

• 121

• 221

• 196

• 100

Why is the triangle in Example 10 not a right triangle?

• The sum of squares of the two smaller sides is less than the square of the largest side

• The sum of squares of the two smaller sides is greater than the square of the largest side

• The triangle is equilateral

• The triangle is isosceles

In Example 11, what is the approximate square root of 61?

• 7

• 10

• 8

• 9

What is the sum of 5 squared and 6 squared in Example 11?

• 50

• 61

• 36

• 25

In Example 12, what tool is recommended for handling decimal side lengths?

• Compass

• Protractor

• Calculator

• Ruler

What is the sum of 4.3 squared and 5.2 squared in Example 12?

• 37.21

• 45.54

• 50.25

• 30.16