Question

The length of two sides of a triangle are 10 cm and 8 cm which measure cannot be the length of the third side of the triangle

Answer 1

i think the 3rd side is 6

Answer 2

Triangle inequality theorem:

• 10 + 8 > x ⇒ x < 18
• 10 + x > 8 ⇒ x > -2
• 8 + x > 10 ⇒ x > 2

Combined the inequality is:

• 2 < x < 18

The length of the third side can't be 2 or smaller or 18 or greater