Question

In an equilateral triangle ABC, AD, BE, and CF are the medians. If the length of AB = 10 cm, then the length of CE is _____ cm.

• A. 5

Answer 1

The correct option is A 5

Given:​

Triangle ABC is an equilateral triangle.​

AB = 10 cm​

AD, BE, and CF are the medians.​

​

To find: Length of CE.​

​

Since, ABC is an equilateral triangle, AB = BC = AC = 10 cm​

​

We know that a median connects a vertex of a tringle to the mid – point of the opposite side.​

​

BE is the median to the side AC.​

So, BE divides AC int equal halves.​

​

So,​

AE = EC​

AC = AE + CE​

10 cm = 2CE​

CE = 10/2 = 5 cm​