Side Lengths of Triangles

If 6, 8, 10 form a triangle, state whether the triangle will be acute, obtuse, or right.

• Acute

• Obtuse

• Right

• These lengths will NOT make a triangle.

If 5, 12, 13 form a triangle, state whether the triangle will be acute, obtuse, or right.

• Acute

• Obtuse

• Right

• These lengths will NOT make a triangle.

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.

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

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

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

• L, K, M

• M, L, K

• K, M, L

• L, M, K

Which set of side lengths could NOT be used to form a triangle?

• 2cm, 6cm, 7cm

• 7cm, 15cm, 8cm

• 5cm, 5cm, 5cm

• 8cm, 9cm, 6cm

Which set of side lengths could be used to form a triangle?

• 4ft, 5ft, 9ft

• 8ft, 6ft, 15ft

• 12ft, 2ft, 10ft

• 5ft, 8ft, 12ft

Brooke drew a triangle. One side of the triangle is 6cm long and the other side of the triangle is 11cm long. Which could be the length of the third side of the triangle?

• 3 cm

• 5 cm

• 12 cm

• 17 cm

Four students in a math class are creating triangles with yarn. Which student chose three side lengths that could form a triangle?

• Fred: 4in, 5in, 6in

• Sam: 8in, 12in, 4in

• Erica: 11in, 10in, 21in

• Steve: 5in, 7in, 15in