RENT is a rectangle (Fig 3.41). Its diagonals meet at `O.` Find `x,` if `OR=2x+4 and OT=3x+1`
Text Solution
AI Generated Solution
To solve the problem, we will use the property of rectangles that states the diagonals bisect each other and are equal in length. This means that the segments formed by the diagonals at the intersection point (point O) are equal.
Given:
- \( OR = 2x + 4 \)
- \( OT = 3x + 1 \)
Since \( OR \) and \( OT \) are segments of the diagonals that meet at point O, we can set them equal to each other:
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