Chapter 4.6, Problem 23PPE

To determine

To Draw: a triangle in which perpendicular bisectors of the sides intersect inside the triangle, outside the triangle and on the triangle.

Answer to Problem 23PPE

Explanation of Solution

Given:

Perpendicular bisectors of triangle located at inside, outside, on the triangle.

Calculation:

a)

Draw an equilateral or acute triangle ABC.

For 3 sides of the triangle, draw three perpendicular bisectors.

All the perpendicular bisectors bisect inside the triangle.

  

b)

Draw a Obtuse triangle (one of the angle is greater than 90 degrees.)

For 3 sides of the triangle, draw three perpendicular bisectors.

All the perpendicular bisectors bisect outside the triangle.

  

c)

Draw a Right angle triangle triangle (one of the angle is 90 degrees.)

For 3 sides of the triangle, draw three perpendicular bisectors.

All the perpendicular bisectors bisect on the triangle.