Question

In an equilateral triangle ABC, AD, BE and CF are the medians. If the length of AB = 7 cm, find the length of CE.

• A. 3 cm
• B. 3.5 cm
• C. 6.5 cm
• D. 7 cm

Answer 1

The correct option is B 3.5 cm

Given:
Triangle ABC is an equilateral triangle.
AB = 7 cm
AD, BE and CF are the medians.

To find: Length of CE.

Since, ABC is an equilateral triangle,
AB = BC = AC = 7 cm

We know that, a median connects a vertex of a triangle to the mid-point of the opposite side.
BE is the median to the side AC.
So, BE divides AC into equal halves.

So,
$AE=ECAC=AE+CE7cm=2CECE=\frac{7}{2}=3.5cm$