Question

What is the value of x in the triangle?

Answer 1

Answer:

x = $\frac{8}{3}$$\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the ratio of the side lengths is 1 : 2 : $\sqrt{3}$

to find the length of short leg, x, you can create this proportion:

x / 8 = 1 / $\sqrt{3}$

cross-multiply to get:

$\sqrt{3}$ x = 8

x = 8 / $\sqrt{3}$

rationalize the denominator by multiplying numerator and denominator by $\sqrt{3}$

x = $\frac{8}{3}$$\sqrt{3}$