Question

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

Answer 1

it is D. 5

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

`\boxed{Shortest\ Leg = 5}`

Explanation:

Tan θ =
`(opposite)/(adjacent)`

Where θ = 60 , opposite =
`5√(3)` and adjacent = shortest leg

=> Tan 60 =
`5√(3)` / shortest leg (Tan 60 = √3)

=> Shortest Leg =
`(5√(3) )/(√(3) )`

=> Shortest Leg = 5