Triangle Properties (HMH)

Which side lengths will create a triangle?

• 17 feet, 13 feet, and 11 feet

• 11 inches, 19 inches, and 35 inches

• 6 inches, 7 inches, and 13 inches

• 1 centimeters, 2 centimeters, and 2.5 centimeters

Tags

CCSS.7.G.A.2

Which of the following is NOT a possible side length if you have lengths of 5 meters and 12 meters?

• 13 meters

• 15 meters

• 9 meters

• 17 meters

Which of the following could be a possible side length if you have lengths of 3 feet and 9 feet? Select all that apply.

• 6

• 8

• 10

• 12

• 14

A craftsman is building stained glass crafts. He has metal stirps of lengths 4 feet, 5 feet, and 10 feet. Will these lengths make a triangle?

• No, the 3 sides have to add up to 180°

• No, the sum of 4 + 5 < 10

• Yes, the sum of 4 + 5 < 10

• Yes, any side lengths can make a triangle.

Tags

CCSS.7.G.A.2

An artist gets strips of metal from a salvage yard to make decorative wall art. He finds strips that are 3 feet and 6 feet long. Determine the range of side lengths for the third side.

• Between 3 and 6 feet.

• Between 0 and 9 feet.

• Between 3 and 9 feet.

• Between 0 and 6 feet.

Which angles will create a triangle? Select all that apply.

• 45°, 45°, and 90°

• 35°, 70°, and 90°

• 30°, 60°, and 90°

• 45°, 60°, and 55°

Tags

CCSS.8.G.A.5

Cliff wants to draw a triangle with a 30° angle and a 60° angle so that the side between them is 2 inches long. How many triangles can he draw?

• One unique triangle

• Many different triangles

• No triangle

Tags

CCSS.7.G.A.2

Can the angles 45°, 65°, and 70° create a triangle?

• No, 45 + 65 > 70

• Yes, 45 + 65 > 70

• No, they can't all be acute angles

• Yes, 45 + 65 + 70 = 180

Tags

CCSS.8.G.A.5

If a triangle has angles of 60°, 60°, and 60°, how many triangles are possible?

• One unique triangle because there is only one way to arrange the angles

• Many different triangles because the side lengths can change

• No triangles, the angles can't all be equal.

Tags

CCSS.7.G.A.2

Kate is drawing a house. For the top of the house, she wants to make a triangle with angle measures of 30°, 30° and 120°. Can Kate form a triangle from these angle measures?

• No, 30 + 30 < 120

• Yes, 30 +120 > 30

• Yes, 30 + 30 + 120 = 180

Tags

CCSS.7.G.A.2