Question

11. BC
5/4y-1
B
A
7/3y-2
C

Answer 1

`(2)/(13)`

Explanation:

All the sides have equal lengths. Set the two sides equal to each other and solve for y

`(5)/(4)`y + 1 =
`(7)/(3)`y -2 I am going to clear the fractions by multiplying through by 12

`((12)/(1))`
`(5)/(4)` y + (12)(-1) =
`((12)/(1))`
`(7)/(3)` y - (12)2

15y - 12 = 28y - 24 Subtract 15y from both sides

-12 = 13y - 24 Add 24 to both sides

12 = 13y Divide both sides by 13

`(12)/(13)` = y

Plug 12/13 into the expression for either side to find the length of BC. All the sides have the same length

`(7)/(3)`
`((12)/(13))` - 2

`(28)/(13)` -
`(26)/(13)` =
`(2)/(13)`