Question

Solve for X. No need to show work.

Answer 1

We assume the triangle is a right triangle. In a 30°-60°-90° triangle, the longest side is twice the length of the shortest.

... 4x = 2(√(x/2))

... 2x = √(x/2) . . . . . . divide by 2

... 4x² = x/2 . . . . . . . . square both sides

... 8x² - x = 0 . . . . . . . multiply by 2, subtract x

... x(8x -1) = 0 . . . . . . . factor

... x = 0 . . . or . . . x = 1/8 . . . . . . values of x that make the factors zero

The first case (x=0) is a "degenerate" case and is not useful. The entire triangle is a single point in that case.

The value of x is ...

... x = 1/8