Question

Find the value of x.

Answer 1

x = 6

Explanation:

Since the triangle is right use the sine ratio to solve for x, that is

sin30° =
`(AB)/(AC )` =
`(x)/(12)`

Multiply both sides by 12

12 × sin30° = x, hence

x = 6

Answer 2

You have to use trigonometry as it is a right angle triangle
Because the hypotenuse(12 cm) is given and you need to find x which is the opposite side you have to use sin
so sin 30 = opposite side/hypotenuse
sin 30 = x/12
12*sin 30 = x
(sin 30 is equal to 1/2)
12*1/2 = x
x = 6