Cost of a garden plot with sides 55, 62 and 117

A neighbour is offered a supposedly triangular garden plot whose sides measure $55$, $62$ and $117$ yards, priced at $10 per square yard. What would the plot cost?

Nothing ($0). Since $55+62=117$, the triangle is degenerate: the three sides lie along one line and enclose zero area, so there is nothing to pay for.