Understanding Triangle Side and Angle Relationships

The video tutorial explains how to order the sides of a triangle from shortest to longest using the relationship between the angles and the sides. It highlights that the smallest angle corresponds to the shortest side, and the largest angle corresponds to the longest side. The tutorial also provides an intuitive understanding of why this relationship holds by considering changes in angle sizes. Additionally, it covers how to order angles when given the side lengths, reinforcing the same principles.

What is the first step in ordering the sides of a triangle when given the angles?

• Calculate the perimeter

• Measure the sides

• Identify the smallest angle

• Identify the largest angle

How are the lengths of the sides of a triangle related to its angles?

• The shortest side is opposite the largest angle

• The sides are unrelated to the angles

• The longest side is opposite the smallest angle

• The longest side is opposite the largest angle

Tags

CCSS.HSG.CO.C.10

If angle A is 57°, angle B is 58°, and angle C is 65°, which side is the longest?

• All sides are equal

• Side C

• Side B

• Side A

What happens to the opposite side if an angle in a triangle is increased?

• The opposite side becomes shorter

• The opposite side becomes longer

• The opposite side disappears

• The opposite side remains the same

Tags

CCSS.HSG.CO.C.10

What is the general principle regarding the order of angles and sides in a triangle?

• The smallest angle is opposite the shortest side

• The smallest angle is opposite the longest side

• The largest angle is opposite the shortest side

• Angles and sides are unrelated

Tags

CCSS.HSG.CO.C.10

When given the sides of a triangle, how do you determine the smallest angle?

• Find the angle opposite the longest side

• Find the angle opposite the shortest side

• Find the angle opposite the middle side

• Measure all angles

Tags

CCSS.HSG.CO.C.10

If the shortest side of a triangle is 7.2, which angle is the smallest?

• Angle A

• Angle C

• All angles are equal

• Angle B

Tags

CCSS.HSG.CO.C.10

What is the relationship between the largest side and the angles in a triangle?

• The largest side is unrelated to the angles

• The largest side is opposite the middle angle

• The largest side is opposite the smallest angle

• The largest side is opposite the largest angle

Tags

CCSS.HSG.CO.C.10

If side lengths are 7.2, 7.3, and 7.5, which angle is the largest?

• All angles are equal

• Angle C

• Angle B

• Angle A

Tags

CCSS.8.G.A.5

What is the sum of the angles in a triangle?

• 270°

• 360°

• 180°

• 90°

Tags

CCSS.8.G.A.5