Question
The measure of CE is ____________.
- 8
- 13
- 11
- 2
Hint:
all sides of a rhombus are equal. the figure is a combination of 2 rhombuses connected through the common side EF
The correct answer is: 13
The sides of rhombus EFGH are equal.
EF = FG = GH = HE = 8v - 3
The sides of rhombus CDFE are equal.
CD = DF = FE = EC = 11 + v
So, 8v-3=11+v
7v=14
v=2
Measure of side CE = 11+2
= 13
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other. Diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
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