Question

jace is making a water play table from a triangular table top. he sketched a dotted line to show where he wants to add a circular water bowl. it should go all the way to the edges of the table as shown. what should jace do first to find the exact location of the center of the circular water bowl? he should find the midpoint of each edge of the table. he should bisect each of the angles at the vertices of the triangular table top. he should draw perpendicular lines through any point along the edges of the table. he should draw perpendicular line segments from each corner to the opposite edge of the table.

Explanation:

The circular water bowl that touches all edges of the triangular table is the incircle of the triangle. The center of the incircle (incenter) is found by bisecting the angles of the triangle, as the incenter is equidistant from all sides (which is necessary for the circle to touch all edges). Finding midpoints of edges relates to midsegments or perpendicular bisectors (for circumcenter), drawing perpendiculars from corners is for altitudes (orthocenter), and drawing perpendiculars through any point on edges is not a standard method for finding the incenter.

Answer:

He should bisect each of the angles at the vertices of the triangular table top.