Question

A 5 ,- 1, B - 1,8,C - 3, - 2 are the vertices of triangle ABC E and F are the midpoints of sides a b and ac respectively show that f is equal to half BC​

Answer 1

Answer:

Step-by-step explanation:

since vertices are given we can find distance between two points

by the formula

first find the vertices of E AND F

Since E is midpoint of AB we will get (  5 - 1 / 2 , -1 + 8 / 2 ) = ( 2 , 7/2 )

Similarly

Vertices of F will be  ( 1 , 1/2 )

so by the formula EF distance will be root 10

BC distance will be 2 root 10

                                  or

 

if you don't know the formula of distance between two points

we can prove mid points of any two sides of a triangle will be parallel and 1/2 of third side by MID POINT THEOREM

Answer 2

It can be find through the MID POINT THEOREM.