## Geometry: Common Core (15th Edition)

$a = 5.6$ $b = 6.8$ Two sides measure $4.2$ each. The other two sides measure $4.5$ each.
We can set the first set of congruent sides equal to one another to solve for $b$: $b - 2.3 = 4.5$ $b = 6.8$ Let's set the other two congruent sides equal to one another to solve for $a$: $a - 1.4 = 2a - 7$ $a = 2a - 5.6$ $-a = -5.6$ $a = 5.6$ Let's plug in $5.6$ for $a$ to find the length of one of the sides: length of side = $5.6 - 1.4$ Subtract to solve: length of side = $4.2$ Two of the sides are congruent, so they both measure $4.2$. The other two sides are congruent, and if one of them measures $4.5$, the other side also measures $4.5$.