Q:

# How do you find the perpendicular bisector of a triangle?

A:

A perpendicular bisector is a line that divide another line into two equal measures and is perpendicular to the line it dissects. A triangle has three perpendicular bisectors, one for each side. To find the perpendicular bisector, which is not immediately visible, you need to measure a side to find the point that divides it into equal halves, and then draw a line that passes through that point and creates a right angle with the side.

## Keep Learning

Credit: Peter Unger Lonely Planet Images Getty Images

1. Measure a side

Find the length of a side of any triangle using a ruler. You need this value to find out where the midpoint lies on that side.

2. Find the midpoint

Divide the side's length in half. From an endpoint of the same side, measure that half-length and mark it. That is the midpoint of the side.

3. Construct the perpendicular line

Draw a line that forms a 90-degree angle with the side of the triangle and passes through its measured midpoint. Use a protractor to ensure that the angle you're creating is a perfect right angle. This line is the side's perpendicular bisector.

4. Find the perpendicular bisectors for the other sides

Repeat the process for the other sides of the triangle. All triangles have three perpendicular bisectors, regardless of type or size.

Sources:

## Related Questions

• A: One triangle is isometric to another triangle if it has the same size and shape. This means that it must have the same angles and side lengths as the other... Full Answer >
Filed Under:
• A: The number of lines of symmetry a triangle has depends on the type of triangle. An equilateral triangle has three lines of symmetry, while an isosceles has... Full Answer >
Filed Under:
• A: Use the Pythagorean theorem to calculate the hypotenuse of a right triangle. A right triangle is a type of isosceles triangle. The hypotenuse is the side o... Full Answer >
Filed Under:
• A: The point of intersection of the three altitudes of a triangle is called the orthocenter, and the altitudes can be used to calculate the area of a triangle... Full Answer >
Filed Under:
PEOPLE SEARCH FOR