Triangles: Inequality and Centroid

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

Can the following side measures form a triangle?

3, 5, 5

• Yes

• No

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Will these line segments form a triangle?

• yes

• no

Select the measurements that match the sides of a triangle.

• 7, 9, 19
• 7, 12, 1
• 7, 7, 7
• 7, 7, 16

Which of the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm
• 5 cm, 2 cm, 5 cm
• 5 cm, 5 cm, 8 cm
• 3 cm, 10 cm, 15 cm

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23

Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 

• Yes
• No

Can a triangle be formed with side lengths:
17, 9, 30

• yes
• no
• not enough information

Find the x-coordinate of the centroid of triangle ABC.
A(1, 1), B(-10, 1) and C(-10, 7)

Write your answer as an improper fraction.

Mathematical Equivalence

ON