Question

Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \\ {\color{lime}{\underline{\rule{200pt}{5pt}}}} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}​​​​​​​​​$
Note:-

Answer Should Be Nicely Explain.
​

Answer 1

Question:-

• Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

$\rule9cm0.2cm$

Given :-

• A 30° - 60° - 90° traingle is given to us .

• The perpendicular is 15 units .

$\rule9cm0.2cm$

To Find :-

• The value of x .

$\rule9cm0.2cm$

Solution :-

$\rule9cm0.2cm$

As we can see that the triangle is divided by perpendicular bisector . So , the base gets divided into two equal halves . Here we will have to use the ratio of tan , as ;

$\sf\longrightarrow tan 60° = 15/x \\ \\\sf\longrightarrow √3 = 15/x \\ \\ \sf\longrightarrow x = 15/√3 \\ \\\sf\longrightarrow x = √3² \times 5/√3 \\ \\\sf\longrightarrow x = 5√3 \\ \\ \sf\longrightarrow x= 5 \times 1.732 \\ \\\boxed{\sf\longrightarrow\green{ \underline{x = 8.66}}}$

Therefore

• x= 5√3 or 8.66units.

❀ тнαηк үσυ !!!❄

${{ \sf{ \pink{@} \green{ItzZ} \red{Brainly} \blue{Sparrow}}}}$

Answer 2

Step-by-step explanation:

Question:-

Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

\rule9cm0.2cm

Given :-

A 30° - 60° - 90° traingle is given to us .

The perpendicular is 15 units .

$\rule9cm0.2cm$

To Find :-

The value of x .

$\rule9cm0.12cm$

Solution :-

$\rule9cm0.2cm$

As we can see that the triangle is divided by perpendicular bisector . So , the base gets divided into two equal halves . Here we will have to use the ratio of tan , as ;

$\begin{gathered}\sf\longrightarrow tan 60° = 15/x \\ \\\sf\longrightarrow √3 = 15/x \\ \\ \sf\longrightarrow x = 15/√3 \\ \\\sf\longrightarrow x = √3² \times 5/√3 \\ \\\sf\longrightarrow x = 5√3 \\ \\ \sf\longrightarrow x= 5 \times 1.732 \\ \\\boxed{\sf\longrightarrow\green{ \underline{x = 8.66}}}\\ \\ \end{gathered}$

Therefore

Thereforex= 5√3 or 8.66units.

❀ тнαηк үσυ !!!❄

${{ \sf{ \pink{@} \green{Mr} \red{Single} \blue{King}}}}$