Angles and Side Lengths of Triangles

Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. Explain your reasoning.

4 m, 5.1 m 12.5 m

• Yes. These 2 sides make a unique triangle because 12.5 + 5.1 is greater than 4.

• There is not enough information to figure out the answer.

• No, triangle can be created with the given sides.

  Because 4 + 5.1 =9.1 which is not greater than 12.5.

• Yes a unique triangle can be formed because

  12.5 m + 4 = 5.7m

Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. Explain your reasoning.

7.4 cm, 8.1 cm 9.8 cm

• Yes. These 2 sides make a unique triangle because 7.4 + 8.1 is greater than 9.8.

• There is not enough information to figure out the answer.

• No, triangle can be created with the given sides.

  Because 9.8 + 8.1 > 7.4 which is not greater than 12.5.

• Yes a unique triangle can be formed because

  9.8 + 8.1 = 7.4

Tags

CCSS.7.G.A.2

Which set of measures cannot make a triangle?

• 300 mm, 190 mm, 200 mm

• 0. 20.2 in, 11 in, 8.2 in.

• 1. 12 ft, 7 ft, 14 ft
     

• 0. 7.4 cm, 8.1 cm, 9.8 cm

Tags

CCSS.7.G.A.2

Determine the measure of the unknown angle the triangle.

• 32 degrees

• 65 degrees

• 105 degrees

Tags

CCSS.HSG.CO.C.10

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length
• equal to 10
• greater than 10
• less than 10

Tags

CCSS.HSA.CED.A.3

How many degrees make up a triangle?

• 45
• 90
• 60
• 180

Tags

CCSS.HSG.CO.C.10

What must you do to determine if side lengths can make a triangle?

• Add the two shorter sides, answer must me less than or equal to the third side

• Subtract the largest side from any other side and the answer must be positive

• Add the two shorter sides together, answer must be larger than the third side

• Divide your largest side by one of the shorter sides, your answer has to be bigger than the remaining side.

Tags

CCSS.HSA.CED.A.3

List the side lengths from shortest to longest for the diagram.

• L, K, M

• M, L, K

• K, M, L

• L, M, K

Tags

CCSS.HSG.SRT.D.11