Question

Which statement is false about the relationship of the sides in the triangle shown in the picture below.

Answer 1

The triangle inequality theorem states that the sum of two sides of a triangle must be longer than the thrid side. Therefore:

x+4 + x + 5 > 4x -3

12 > 4x - 2x

12>2x

6>x 6

x+4 +4x - 3 > x+5

5x -x > 5-4+3

4x>4

x> 1

x+5+4x-3 > x+4

4x > 4 - 5 +3

4x> 2

x> 1/2 x>1/3 is false