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

ANSWER

$y = 5$

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.

$y = \frac{45}{9}$

$y = 5$