Question

Determine the value of x​

Answer 1

`x = 5\sqrt3`

Explanation:

We can solve for the side length x in this 30-60-90 triangle by using the ratio of side lengths for that specific type of right triangle:

• 1 :
  `\sqrt3` : 2

In this triangle, we can identify the smallest side (corresponding to 1 in the ratio) as 5. This means we can solve for x by multiplying 5 by
`\sqrt3`. Thus:

`\boxed{x = 5\sqrt3}`