Question

Which statements about triangle JKL are true? Select two
options.

Answer 1

N is the midpoint of line segment JL

MN=1/2KJ

Explanation:

Answer 2

The true statements are:

N is the mid-point of JL ⇒ 2nd answer

MN = 1/2 JK ⇒ 3rd answer

Explanation:

* Lets describe the figure to solve the problem

- In Δ JKL

- Mk = 5.9 m and ML = 5.9 m

- NJ = 3.7 m and NL = 3.7 m

- KJ = 12.8

* Lets solve the problem

∵ MK = 5.9 m and ML = 5.9 m

∴ MK = ML

∴ M is the mid-point of KL

∵ NJ = 3.7 m and NL = 3.7 m

∴ NJ = NL

∴ N is the mid-point of JL

- In any triangle the line segment joining the mid-points of two

sides in the triangle equal half the length of the third side

∵ M is the mid-point of KL

∵ N is the mid-point of JL

∵ The third side is JK

∴ MN = 1/2 JK

∵ JK = 12.8 m

∴ MN = 1/2 (12.8) = 6.4 m

- The true statements are:

# N is the mid-point of JL

# MN = 1/2 JK