Rhombus

One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.

Final Answer:

u =  19.8007 cm
a =  10.6779 cm

Step-by-step explanation:

$$\begin{gathered} v=8 \\ B=136 \\ \tan B/2=u/v \\ u=v\cdot \tan (B/2)=8\cdot \tan (136/2)=19.8007\text{cm} \end{gathered}$$

$a=\sqrt{(u/2{)}^2+(v/2{)}^2}=\sqrt{(19.8007/2{)}^2+(8/2{)}^2}=10.6779\text{cm}$

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