Question

prove converse mid point theorem​

Answer 1

Answer:

The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”

Step-by-step explanation:

In triangle ABC, the midpoints of BC, CA, AB are D, E, and F respectively. Find the value of EF, if the value of BC = 14 cm

Midpoint Theorem Example

Solution:

Given: BC = 14 cm

If F is the midpoint of AB and E is the midpoint of AC, then using the midpoint theorem:

EF = 1/2 (BC)

Substituting the value of BC,

EF = (1/2) × 14

EF = 7 cm

• Therefore, the value of EF = 7cm.