Can 3,6,9 form a triangle ?

2 Answers
Feb 24, 2018

The lines will form a straight line not a triangle.

Explanation:

Sides of length 3, 6 and 9 will form a straight line, not a triangle.

The reason for this is that 3+6=9, If the three lines are drawn, the two shorter lines (3+6) will be the same as the longer line (9). There will be no 'height'.

For three lengths to form a triangle, the sum of two of the sides has to be more than the length of the third line.

3,6,8 " or " 3,6,7 will form triangles.

Jul 20, 2018

color(red)("Not Possible"

Explanation:

color(indigo)("The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."

https://www.youtube.com/watch?v=hoZP0gRl8TEhttps://www.youtube.com/watch?v=hoZP0gRl8TE

Since 3 + 6 = 9, the third side, we cannot form a triangle with sides measuring 3, 6, 9.