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Byju's Answer
Standard IX
Mathematics
Diagonals of a Square are Perpendicular Bisectors of Each Other
PQRS is a squ...
Question
PQRS is a square with diagonals PR and SQ meeting at O. Find the value of 'x + 10'.
13
Open in App
Solution
The correct option is
A
13
Given:
O
S
=
5
x
−
4
O
R
=
3
x
+
2
Diagonals of a square are equal and bisect each other.
So,
5
x
−
4
=
3
x
+
2
⇒
2
x
=
6
⇒
x
=
3
Therefore, the value of x + 10 = 3 + 10 = 13.
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