POW 28 - Due 05/15/26

1. A triangle with side length a, b, and c is shown below. Which statement about the side lengths must be true?

Answer explanation

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

2. The measures of the angles in triangle UVW are shown in the diagram below. What is the value of x?

• A. 21

• B. 39

• C. 45

• D. 126

Answer explanation

The sum of the measure of the three angles of a triangle equal 180°.

Tags

CCSS.8.G.A.5

3. 3. Which of the following lengths of sides could form a triangle?

• A. 12 cm, 16 cm, 30 cm

• B. 5 cm, 11 cm, 19 cm

• C. 6 cm, 7 cm, 15 cm

• D. 5.5 cm, 7.5 cm, 8 cm

Answer explanation

Apply the triangle inequality theorem to each answer choice.

The triangle inequality theorem states that the sum of the measures of any two sides of a triangle must be greater than the measure of the third side.

To check each answer choice, take the lengths of the two smaller sides of the triangle and determine if the sum is greater than the third side.

Tags

CCSS.7.G.A.2

• A. No triangles

• B. One triangle

• C. More than one triangle

Answer explanation

The angles of every triangle must add to 180°.

Tags

CCSS.7.G.A.2

5. Which of the following lengths of sides could form a triangle?

Answer explanation

Apply the triangle inequality theorem to each answer choice.

The triangle inequality theorem states that the sum of the measures of any two sides of a triangle must be greater than the measure of the third side.

To check each answer choice, take the lengths of the two smaller sides of the triangle and determine if the sum is greater than the third side.

Tags

CCSS.7.G.A.2

6. Which expression represents the perimeter of the triangle?

Answer explanation

To find the perimeter of the triangle, add the three sides together by combining like terms.

Tags

CCSS.7.EE.A.1

7. Is this a right triangle?

• A. Yes

• B. No

Answer explanation

Does this triangle have a right angle in it?

Tags

CCSS.8.G.B.8

Answer explanation

The sum of the measures of the interior angles of a triangle is 180°. Write an equation and solve for the variable, x. Let x represent the missing angle.

Tags

CCSS.8.G.A.5