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An easy way I like to remember that double bonds are shorter and stronger than single bonds is I think of them as sticks. Longer, skinnier sticks are easier to break i.e. weaker bond. The shorter and wider the stick, or in our case, the bond (triple bond), the stronger it is.
double and triple bonds are shorter in length than single bonds because the bonds themselves are stronger due to a higher force of attraction between the electrons. The atoms involved in the bonding are thus pulled closer together.
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