Question

In AJKL, m2 J= 90°, m2 K = 30°, and m2 L = 60° Which of the following statements about AJKL are true? Check all that apply.

Answer 1

Let's use trigonometry identities:

$\begin{gathered} JK=\cos (30)\cdot KL \\ JK=\frac{\sqrt[]{3}}{2}\cdot KL \end{gathered}$

A is correct

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B is incorrect

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$\begin{gathered} KL=\frac{JL}{\sin (30)} \\ KL=2\cdot JL \end{gathered}$

C is correct

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D is incorrect.

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$\begin{gathered} JK=\frac{JL}{\tan (30)} \\ JK=\sqrt[]{3}\cdot JL \end{gathered}$

E is correct

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F.

$\begin{gathered} JL=\sin (30)\cdot KL \\ JL=\frac{1}{2}\cdot KL \end{gathered}$

F is incorrect