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What is the distance between the points (10, 2) and (14,5)?

Sagot :

bobagem

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

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