Answer:
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