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Question
The coordinates of point P are ______.
Options
(0, 5)
(5, 0)
(4, 3)
(3, 4)
MCQ
Fill in the Blanks
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Solution
The coordinates of point P are (3, 4).
Explanation:
The x-coordinate of point P is 3 because the base of the right-angled triangle lies on the X-axis with a length of 3. Using the Pythagorean theorem with the given hypotenuse of 5, the y-coordinate (height) is calculated as:
\[3^2 + y^2 = 5^2\]
\[y^2 = 25 - 9\]
y = 4
Thus, the coordinates of point P are (3, 4).
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