Question

Enter the values needed to find the length EF (Simplify your answer)
Please Help Me!!!

Answer 1

its 3b thats the answer

Answer 2

The missing term is 3b

Explanation:

step 1

Find the coordinates of point F

Find the midpoint AB

`F((-3a+3a)/(2),(b+b)/(2))\\ \\F(0,b)`

step 2

Find the coordinates of point E

Find the midpoint AC

`E((-3a-a)/(2),(b-5b)/(2))\\ \\E(-2a,-2b)`

step 3

Find the distance EF

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

substitute

`EF=\sqrt{(b+2b)^(2)+(0+2a)^(2)}`

`EF=\sqrt{(3b)^(2)+(2a)^(2)}`

therefore

The missing term is 3b