Question

Help needed!!! Please

Answer 1

The correct option is: C.
`x=6√(3), y=12`

Explanation:

The two angles of the triangle are given as 60° and 60°

As the sum of all three angle in any triangle is always 180°, so the measure of the third angle will be: 180°-(60°+60°) = 180° - 120° = 60°

Now each angle of the triangle is 60°, it means the triangle is equilateral.

The base of the triangle is given as 12. So, the length of each side will be 12.

That means, the value of
`y=12`

Now in the left right triangle.....

`Sin(60)=(x)/(y) \\ \\ \frac{√(3)} {2}=(x)/(12) \\ \\ 2x=12√(3) \\ \\ x=6√(3)`

So, the value of
`x = 6√(3)`