Question

In this picture B and F are midpoints CE=90 BF=

Answer 1

By definition, BF = 1/2 * CE;

So, BF = 1/2 * 90 = 45.

BF = 45

(Midsegment Length Theorem)

Answer 2

BF=45

Explanation:

Here the given point B and point
`F` are the midpoint of the sides AC and AE respectively in triangle ACE .

According to converse of Thales theorem -if a line divides any two sides of a triangle in equal parts then that line will be parallel to the third side of the triangle.

Also ,

In the above said condition, that line will be half of the third side

On applying this concept in the given triangle ACE

`BF= (1)/(2) *CE\\BF=(1)/(2) *90\\BF=45`

Hence BF=45