Question 1189233
<br>
AB = 2BC<br>
let BC = x
then AB = 2x<br>
AB+BC = 2AC<br>
2x+x = 2AC
3x = 2AC
AC = 1.5x<br>
The perimeter is 1.89m:<br>
2x+x+1.5x = 1.89
4.5x = 1.89
9x = 3.78
x = 3.78/9 = 0.42<br>
The side lengths are
AB = 2x = 0.84m
BC = x = 0.42m
AC = 1.5x = 0.63m<br>
ANSWER: The longest side is 0.84m<br>