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Answer:
5
Step-by-step explanation:
We will solve using the Pythagorean theorem.
The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.
But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²
The general formula would be:
distance² = (∆x)² + (∆y)²
distance = √[ (14-10)² + (5-2)² ]
= √[ 4² + 3² ]
= √[ 16 + 9 ]
= √[ 25 ]
= 5