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YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.

YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.
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YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.

User Marixsa
by
8.5k points

1 Answer

4 votes
The rhombus is quadrilateral whose:

i) diagonals are perpendicular

AND

ii) lengths of all sides are equal.


So, by the definition of being a rhombus, |WX|=|XZ|

thus,

4a+12=6a
12=2a
a=6


Answer: 6
User YodasMyDad
by
8.4k points
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