what is the length of mn? 58 cm 75 cm 88 cm 116 cm
what is the length of mn? 58 cm 75 cm 88 cm 116 cm
Answer
Explanation:
Step1: Identify mid - segment theorem
In a triangle, the segment joining the mid - points of two sides of a triangle (mid - segment) is parallel to the third side and half its length. Here, since M and N are mid - points of AB and BC respectively, MN is a mid - segment of triangle ABC.
Step2: Apply the mid - segment formula
The length of the mid - segment MN is half of the length of the third side AC. Given AC = 116 cm, then $MN=\frac{1}{2}\times AC$. $MN=\frac{1}{2}\times116 = 58$ cm
Answer:
58 cm