Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given. (1 point)

2 mm
• 1 mm
( 5 mm
) 20 mm

1 answer

Using the triangle inequality theorem, the third side must be greater than the difference of the other two sides and less than the sum of the other two sides.

So, the third side must be greater than 10 - 7 = 3 mm and less than 10 + 7 = 17 mm.

Therefore, the length of the third side must be 1 mm.