Archaeologists attempt to reconstruct past ways of life by examining preserved bones, the ruins of buildings, and artifacts such as tools, pottery, and jewelry.

During an archaeological dig, a coordinate grid is laid over the site to identify the location of artifacts as they are excavated. During a dig, three corners of a triangular building have been partially unearthed at (-1, 6), (4, 5), and (-3, -4).

If each square on the grid measures one square foot, estimate the area of the floor of the building.

Question

Archaeologists attempt to reconstruct past ways of life by examining preserved bones, the ruins of buildings, and artifacts such as tools, pottery, and jewelry.

During an archaeological dig, a coordinate grid is laid over the site to identify the location of artifacts as they are excavated.  During a dig, three corners of a triangular building have been partially unearthed at (-1, 6), (4, 5), and (-3, -4). 

If each square on the grid measures one square foot, estimate the area of the floor of the building.