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Point Find the length of segment CD with C(2,3) and D (-3, 15​

1 Answer

5 votes

Explanation:

so, if the text is correct, the 2 points are

(2, 3) and (-3, 15).

the length of the line segment is the distance between both points.

did this we use Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.

so,

distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169

distance = sqrt(169) = 13 = length of line segment

User Carles Fenoy
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