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The points A (4, 0) and B (3, 7) are two vertices of right triangle ABC . The hypotenuse of the triangle is ABOUT point C is on the x-axis what are the coordinates of point C?

User Mtn Pete
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2 Answers

4 votes

The answer to point C would be (3, 0)

Explanation:

User Roni Litman
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3 votes
Okay, let us take the problem axis-by-axis. Points A(4,0) and B(3,7) are the vertices of the right triangle ABC. These points are 1 (4-3) unit away from each other on the x-axis, and 7 (7-0) units away from each other on the y-axis. Now, if we want to know the coordinates of point C, it should lie perpendicular to both points A and B since there must be a right angle at this point. Moreover, pt C must be 7 units under (vertical distance) pt B and 1 unit behind (horizontal distance) pt A, thus C(3,0).
User Loose
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