Question

HURRY PLEASE!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:$FH=8\sqrt{51}$

Step-by-step explanation:

This is a special right triangle that has 30, 60 and 90 degress corners. Because it is a special triangle, it also has side length values which always consistent relationship with one another.

Side opposite the 30° angle: x

Side opposite the 90° angle: 2x

So, $FG=8\sqrt{17}$

Then use Pythagorean theorem. $c^{2} =a^{2} +b^{2}$

$(16\sqrt{17} )^{2} =FH^{2} +(8\sqrt{17} )^{2}$

$FH^{2} =4352-1088$

$FH=\sqrt{3264}$

$FH=8\sqrt{51}$

Answer 2

Answer:

Step-by-step explanation:

$\frac{FH}{16\sqrt{17} } =sin 60=\frac{\sqrt{3} }{2} \\FH=\frac{\sqrt{3} }{2} *16\sqrt{17} =8\sqrt{51}$