Answer:
# Answer B is true ⇒ KL = 2(JL)
# Answer C is true ⇒ JK = √3(JL)
# Answer F is true ⇒ JK = √3/2(KL)
Step-by-step explanation:
* Lets explain the ratio between the sides of the triangle
- In Δ JKL
∵ The measure of angle J is 90°
∴ KL is the hypotenuse
∵ The measure of angle K is 30°
∴ JL is the opposite side to angle 30°
∵ The measure of angle L is 60°
∴ JK is the opposite side to the angle 60°
- There is a fact in the triangle which has angles 30° , 60° , 90°
# The length of the side opposite to the angle of measure 30° is
half the length of the hypotenuse
∵ KL is the hypotenuse
∵ JL is the opposite side to the angle of measure 30°
∴ JL = 1/2 KL OR KL = 2 JL
# The length of the side opposite to the angle of measure 60° is
√3 the length of the opposite side to the angle 30°
∵ JK is the opposite side to the angle of measure 60°
∵ JL is the opposite side to the angle of measure 30°
∴ JK = √3 JL
# The length of the side opposite to the angle of measure 60° is also
half √3 the length of the hypotenuse
∵ JK is the opposite side to the angle of measure 60°
∵ KL is the hypotenuse
∴ JK = √3/2 KL
- From the relation above
# Answer B is true ⇒ KL = 2(JL)
# Answer C is true ⇒ JK = √3(JL)
# Answer F is true ⇒ JK = √3/2(KL)
