Question

In 30 degree - 60 degree - 90 degree triangle hypoteneous is 14 then what is the 60 degrees opposite site

Answer 1

Answer:

The side opposite to 60°is

$\frac{ \sqrt{3} }{2} \times hypotenus$

Answer 2

Step-by-step explanation:

In that question they told about hypotenuse.

so, this triangle is must be a right angled triangle and it's one angle will be 90° then.

Now, imagine a triangle with angles 90°, 60° and 30° such that hypotenuse must be 14.

Now let the opposite side of 60° angle be x.

therefore,

$\: \: \: \: \: \sin(60) = \frac{x}{14} \\ \frac{ \sqrt{3} }{2} \: \: \: = \frac{x}{14} \\ x = 14 \frac{\sqrt{3}}{2} \\ x = \: \: \: \: 7 \sqrt{3}$