Question

What is the length of the short leg in the 30-60-90 triangle shown below?

Answer 1

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer 2

Answer:

$\boxed{Shortest\ Leg = 5}$

Step-by-step explanation:

Tan θ = $\frac{opposite}{adjacent}$

Where θ = 60 , opposite = $5\sqrt{3}$ and adjacent = shortest leg

=> Tan 60 = $5\sqrt{3}$ / shortest leg  (Tan 60 = √3)

=> Shortest Leg = $\frac{5\sqrt{3} }{\sqrt{3} }$

=> Shortest Leg = 5