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

Answer:

BF=45

Step-by-step 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

$BF= \frac{1}{2} *CE\\BF=\frac{1}{2} *90\\BF=45$

Hence BF=45