Question

Which set of numbers does not create a triangle?

A.)900 cm, 60 cm, 0.5 m

B.)12 m, 34 m, 40 m

C.)145 ft, 14 yd, 105 ft

D.)16 yd, 12 yd, 27 yd

Answer 1

Well the answer is option A.
The reason is that for any triangle, one property should always hold and that is "The sum of any two sides of the triangle should be greater than the third side."
Here the first option violates this property because 60cm + 0.5m = 0.6 + 0.5 = 1.1m = 110cm which is less than 900cm.

Answer 2

First, you have to change them so they are using the same units to measure length (because 0.5 meters is not smaller that 1 cm, for example)

once all 3 numbers are measured in the same units, pick the biggest number of the 3. You can form a triangle if the 2 smaller numbers add to a BIGGER number than the first number.