GATE EE 2024 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
In the following figure,
, , ,
, and
Points create a rhombus.
The length of (in cm) is
, , ,
, and
Points create a rhombus.
The length of (in cm) is
Correct answer
(A) 3
Solution
In a rhombus , the diagonals and bisect each other at right angles. Let the intersection point be .
Given , this is consistent with being the intersection of diagonals and where .
In , , (side of rhombus), and .
By Pythagoras theorem, .
Since lies on and , the length .
In a rhombus, the diagonals bisect each other, so .
Given , this is consistent with being the intersection of diagonals and where .
In , , (side of rhombus), and .
By Pythagoras theorem, .
Since lies on and , the length .
In a rhombus, the diagonals bisect each other, so .
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