To determine the location of the entrance in the triangular birdhouse front, we need to follow these steps:
1. Draw a line from the top of the triangle to the midpoint of the bottom side. This line will bisect the bottom side into two equal parts.
2. Draw a perpendicular line from the midpoint of the bottom side to the top of the triangle. This line will bisect the top angle of the triangle into two equal angles.
3. The point where these two lines intersect is the centroid of the triangle, which is the center of mass of the triangle. This point is also equidistant from all three sides of the triangle.
4. Draw a circle with its center at the centroid and a radius equal to the desired distance of the entrance from each side of the triangle.
5. The point where the circle intersects each side of the triangle is the location of the entrance.
Therefore, to make the entrance the same distance from each side of the triangular front, we need to locate the centroid of the triangle and draw a circle with its center at the centroid and a radius equal to the desired distance of the entrance from each side of the triangle. The intersection of the circle with each side of the triangle gives the location of the entrance.