Question

In Jaden’s garden, there is a triangular patch of grass. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?
in the center of the inscribed circle of the triangle
in the center of the circumscribed circle of the triangle
at the point of intersection of the angle bisectors of the triangle
at the point of intersection of an angle bisector and a perpendicular bisector of the triangle

Answer 1

Answer:

In the center of the circumscribed circle of the triangle

Step-by-step explanation:

This implies that he wish to plant a geranium in such a way that its position would be of equal distance to the vertices of the triangle.

To circumscribe a circle to the triangle means to construct or draw a circle outside the triangle. And the circle would touch the three vertices of the triangle externally. Thus, the center of the circle is equidistant to the vertices.

For Jade to plant a geranium in the patch at a point equidistant from all vertices of the triangle, he should plant it in the center of the circumscribed circle of the triangle.

Answer 2

in the center of the circumscribed circle of the triangle