Question

In △DEF, what is the length of line segment DF?
90

45radical 2

15radical 3

30radical 3

Answer 1

use \[\sin(\theta)=\frac{opposite}{hypotenuse}\]

Answer 2

how do i get hypothenuse

Answer 3

It's a 30-60-90 triangle. You could tell that.

2x is the hypotenuse.
x and \(x\sqrt3\) are the other two legs.
You can probably tell that x = 45 till now.
2x = 90 = hypoteuse
xsqrt3 = 45sqrt3 = leg