Question

The perimeter of rhombus EFGH is 48 cm and the measure of

Answer 1

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

`\begin{gathered} \text{Apply trigonometry ratio formula} \\ \sin \theta\text{ = }\frac{Opposite}{\text{Hypotenuse}} \\ \sin \theta\text{ = }(6)/(12) \\ \sin \theta\text{ = 0.5} \\ \theta\text{ = }\sin ^(-1)0.5 \\ \theta\text{ = 30} \end{gathered}`

Therefore,

Angle