Question

question 2(multiple choice worth 1 points) (05.01 mc) in △jkl, what is the length of segment jl? k 57 j 60° 30° l 114 57√3 28.5 57√2

Explanation:

Step1: Identify the right - triangle properties

In right - triangle $\triangle JKL$, $\angle K = 90^{\circ}$, $\angle J=60^{\circ}$, $\angle L = 30^{\circ}$. The side opposite the $30^{\circ}$ angle is $JK = 57$.

Step2: Apply the 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the side opposite the $30^{\circ}$ angle is $a$, the side opposite the $60^{\circ}$ angle is $a\sqrt{3}$ and the hypotenuse is $2a$. Here, $JK$ is opposite the $30^{\circ}$ angle and $JL$ is the hypotenuse. Since $JK = 57$, then $JL = 2\times57=114$.

Answer:

114