Impossipuzzle

“You bought two bits of land in Kalota?” Anne exclaimed. “But why triangles?”

Bert smiles. “I liked them, and they’re exactly similar in shape,” he replied. “All sides are perfect squares in kins. The longer side of the bigger one is 8 kins more than double its shortest side, and the short side of the smaller is 32 kins less than its middle side.”

A strange investment, but what were the dimensions?