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Question
AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of each of its diagonals is ______.
Options
5 units
3 units
4 units
`sqrt(34)` units
MCQ
Fill in the Blanks
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Solution
AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of each of its diagonals is `underlinebb(sqrt(34) units)`.
Explanation:
The other vertex opposite O is B(5, 0) and A is (0, 3), so a diagonal is AB.
Distance `AB = sqrt((5 - 0)^2 + (0 - 3)^2)`
= `sqrt(25 + 9)`
= `sqrt(34)`
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