What is the distance between point A and point B?I. Point C is 10 m we...
From I : No relation between points A and B
From II : In this since we don’t know the angles between sides of triangle forming with points ABD and ABC, AB cannot be determined.
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What is the distance between point A and point B?I. Point C is 10 m we...
Statement I:
Point C is 10 m west of point A and point D is 10 m north of point A.
Statement II:
Point B is 10 m south-east of point C. Point D is 20 m north-west of point B.
To find:
The distance between point A and point B.
Solution:
To find the distance between point A and point B, we need to determine the locations of both points relative to each other. Let's analyze each statement individually:
Statement I:
Point C is 10 m west of point A and point D is 10 m north of point A.
From this statement, we can determine the following:
- The distance between point A and point C is 10 m.
- The distance between point A and point D is 10 m.
However, statement I does not provide any information about the location of point B, so it is not sufficient to answer the question.
Statement II:
Point B is 10 m south-east of point C. Point D is 20 m north-west of point B.
From this statement, we can determine the following:
- The distance between point B and point C is 10 m.
- The distance between point B and point D is 20 m.
Again, statement II does not provide any information about the location of point A, so it is not sufficient to answer the question.
Combining both statements:
By combining both statements, we have the following information:
- The distance between point A and point C is 10 m.
- The distance between point A and point D is 10 m.
- The distance between point B and point C is 10 m.
- The distance between point B and point D is 20 m.
However, we still do not have any direct information about the distance between point A and point B. Therefore, even when both statements are considered together, they are not sufficient to answer the question.
Conclusion:
Neither statement I nor statement II alone is sufficient to determine the distance between point A and point B. Therefore, the correct answer is option D.