Find the length of the line segment, one end of which lies at the origin, and the other is a point: B (-7: -24): D (-8: 15).

| February 13, 2021 | education

If the coordinates of the segment AB are known, then to calculate the length of the segment AB, you can use the formula:

d = √ ((xb – xa) ^ 2 + (yb – ya) ^ 2).

Consider the option point A – origin (0; 0), point B (-7; -24). Therefore: xb = -7; xa = 0; yb = -24; ya = 0.

Let’s substitute the values ​​into the formula:

d = √ ((- 7 – 0) ^ 2 + (-24 – 0) ^ 2) = √ (49 + 576) = √625 = 25.

The length of the segment AB with the coordinates of the points A (0; 0) B (-7; – 24) is 25.

Consider the option point A – origin (0; 0), point D (-8; 15). Therefore: xb = -8; xa = 0; yb = 15; ya = 0.

Let’s substitute the values ​​into the formula:

d = √ ((- 8 – 0) ^ 2 + (15 – 0) ^ 2) = √ (64 + 225) = √289 = 17.

The length of the segment AD with the coordinates of the points A (0; 0) D (-8; 15) is 17.

Answer: the length of the segment AB is 25, the length of the segment AD is 17.



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