Question

abcd is an isosceles trapezoid with legs ab and cd and base bc if the length of ab =-3y+54 the leingth of bc =5y+2 and the leingth of cd is 6y+9 find the value of y

Answer 1

`y = 5`

Step-by-step explanation

The given isosceles tra-pezoid has legs

`ab = - 3y + 54`

and

`cd = 6y + 9`

The base is bc=5y+2.

The length of the legs of the isosceles tra-pezoid are equal.

This implies that,

`ab = cd`

Thus,

`- 3y + 54 = 6y + 9`

Group similar terms,

`54 - 9 = 6y + 3y`

`45 = 9y`

Divide both sides by 9.

`y = (45)/(9)`

`y = 5`