The perimeter of rhombus EFGH is 48 cm and the measure of
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Given data
Perimeter = 48cm
perimeter of a rhombus is the sum of all length of the outer boundary.
A rhombus has equal length
Perimeter = 4L
4L = 48
L = 48/4
L = 12cm
a) GH = 12cm
b)
c)
To find
Opposite = 6 side facing the given angle
Hypotenuse = 12 side facing right angle
[tex]\begin{gathered} \text{Apply trigonometry ratio formula} \\ \sin \theta\text{ = }\frac{Opposite}{\text{Hypotenuse}} \\ \sin \theta\text{ = }\frac{6}{12} \\ \sin \theta\text{ = 0.5} \\ \theta\text{ = }\sin ^{-1}0.5 \\ \theta\text{ = 30} \end{gathered}[/tex]Therefore,
Angle