Triangle Properties and Relationships

In this lesson, Justin teaches about the relationships between angles and sides in triangles. The video covers how to compare angles and sides to draw conclusions about their measures and lengths. It includes exercises on placing side lengths correctly and explains the concept that the shortest side is opposite the smallest angle, and the longest side is opposite the largest angle. An example problem is solved using inequalities, and tips for practice problems are provided.

What will you learn about in this lesson?

• The relationship between angles and sides in a triangle

• The history of triangles

• How to draw perfect triangles

• The different types of triangles

What is the main goal by the end of this lesson?

• To understand the history of geometry

• To memorize all triangle formulas

• To compare angles and sides within a triangle to draw conclusions

• To learn how to draw triangles accurately

When given a triangle, what should you try to do with the side lengths?

• Place them randomly

• Place them based on their appearance

• Place them based on the color of the triangle

• Place them on the correct sides instinctively

What should you consider if a triangle is not drawn to scale?

• Ignore the side lengths

• Use a ruler to measure the sides

• Use the angle measures to help place the side lengths

• Guess the side lengths

What is always true about the shortest side of a triangle?

• It is the same as the longest side

• It is opposite the smallest angle

• It is always horizontal

• It is opposite the largest angle

In a triangle, where is the shortest side located?

• Next to the smallest angle

• Next to the largest angle

• Opposite the smallest angle

• Opposite the largest angle

What is true about the largest angle in a triangle?

• It is the same as the smallest angle

• It is always 90 degrees

• It is opposite the longest side

• It is opposite the shortest side

If you know the longest side of a triangle, what can you determine?

• The area of the triangle

• The largest angle

• The perimeter of the triangle

• The smallest angle

What should you do if asked to write an inequality for triangle sides?

• Order the sides from least to greatest

• Order the sides from greatest to least

• Ignore the angles

• Use a calculator

In the example problem, which side is written first in the inequality?

• The side with the smallest number

• The side opposite the largest angle

• The side opposite the smallest angle

• The longest side