Triangle Segments

Question

Which segments of the given length cannot be the sides of a triangle?

• 4 cm, 5 cm, 6 cm
• 7 cm, 9 cm, 10 cm
• 10 cm, 15 cm, 16 cm
• 5 cm, 4 cm, 12 cm

 

thanks

Answer 1

The Triangle Inequality Theorem" states that...

"The sum of any two sides of a triangle MUST BE GREATER THAN the third side."

 

Let's look at the first set of triangle sides: 4cm, 5cm and 6cm...

4+5=9

9>6.....true

 

5+6=11

11>4...true

 

6+4=10

10>5...true

 

Conclusion...a triangle with sides of 4cm, 5cm and 6cm IS A TRIANGLE.

 

      ******************

 

Now complete the same procedure for the remaining sets of triangles sides.