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The length of a line segment is of
10
units and the coordinates of one-end-point are
(
2
,
−
3
)
. If the abscissa of the other end is
10
, find the ordinate of the other end.?
10
units and the coordinates of one-end-point are
(
2
,
−
3
)
. If the abscissa of the other end is
10
, find the ordinate of the other end.?
Most Upvoted Answer
The length of a line segment is of 10 units and the coordinates of one...
Given information:
- Length of line segment = 10 units
- Coordinates of one end-point = (2, -3)
- Abscissa of the other end = 10
Finding the ordinate of the other end:
Step 1: Determine the difference in abscissas
- Given abscissa of one end = 2
- Given abscissa of the other end = 10
- Difference = 10 - 2 = 8
Step 2: Use the Pythagorean theorem to find the ordinate
- Length of line segment = 10 units
- Difference in abscissas = 8
- Using Pythagorean theorem: \(10^2 = 8^2 + y^2\)
- \(100 = 64 + y^2\)
- \(y^2 = 100 - 64 = 36\)
- \(y = \sqrt{36} = 6\) or \(y = -6\)
Step 3: Determine the correct ordinate
- Given one end-point has an ordinate of -3
- Since the length is positive, the ordinate of the other end must also be positive
- Therefore, the ordinate of the other end is 6
Therefore, the ordinate of the other end is 6.
- Length of line segment = 10 units
- Coordinates of one end-point = (2, -3)
- Abscissa of the other end = 10
Finding the ordinate of the other end:
Step 1: Determine the difference in abscissas
- Given abscissa of one end = 2
- Given abscissa of the other end = 10
- Difference = 10 - 2 = 8
Step 2: Use the Pythagorean theorem to find the ordinate
- Length of line segment = 10 units
- Difference in abscissas = 8
- Using Pythagorean theorem: \(10^2 = 8^2 + y^2\)
- \(100 = 64 + y^2\)
- \(y^2 = 100 - 64 = 36\)
- \(y = \sqrt{36} = 6\) or \(y = -6\)
Step 3: Determine the correct ordinate
- Given one end-point has an ordinate of -3
- Since the length is positive, the ordinate of the other end must also be positive
- Therefore, the ordinate of the other end is 6
Therefore, the ordinate of the other end is 6.
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The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.?
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The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.?.
The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a line segment is of 10 units and the coordinates of one-end-point are (2,−3). If the abscissa of the other end is 10, find the ordinate of the other end.?.
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