Question

20 points!
I need help (asap!!)

Answer 1

x = 5

OB = 36

BE = 54

Explanation:

We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:

`(9x-9)/(2x+8)=(2)/(1)` cross multiply

`1(9x-9)=2(2x+8)` use distributive property a(b + c) = ab + ac

`9x-9=(2)(2x)+(2)(8)`

`9x-9=4x+16` add 9 to both sides

`9x=4x+25` subtract 4x from both sides

`5x=25` divide both sides by 5

`\boxed{x=5}`

`OB=9x-9\to OB=9(5)-9=45-9=\boxed{36}`

`OE=OB:2\to OE=36:2=18\to BE=BO+OE\to BE=36+18=54`