Question

How do i solve this ?

Answer 1

x = 2

Explanation:

The given triangle is a (30 - 60 - 90) triangle (this refers to the angle measurements). One property of a (30 - 60 - 90) triangle is that its side follows the following ratio,

`x:x√(3):2x`

Where the side opposite the (30) degree angle measures (x), the side opposite the (60) degree angle measures (
`x√(3)`) and the side opposite the (90) degree angle measures (2x).

One can use this ratio in the given triangle. Since it is given that the side opposite the (90) degree angle measures (4), and the side opposite the (30) degree angle measures (x), one can form an equation and solve for the unknown,

(2x) = (4)

Inverse operations,

x = 2