Medians, altitudes and perpendicular bisectors

Rectilinear shapesMedians, altitudes and perpendicular bisectors

Find the gradient, equations and intersections of medians, altitudes and perpendicular bisectors using our knowledge of the mid-point as well as parallel and perpendicular lines.

Look through the slideshow below to see examples of the special lines in a triangle.

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Image caption,
Median
A line segment from a vertex to the median point of the opposite side
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Altitude
A line segment through a vertex and perpendicular to the opposite side
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Angle bisector
A line through a vertex that cuts the angle into two equal angles
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Centroid
The intersection of the three medians of a triangle
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Orthocentre
The intersection of the three altitudes of a triangle

Equation of altitudes and perpendicular bisectors

Point of intersection

Rectilinear shapesMedians, altitudes and perpendicular bisectors

Medians, altitudes and perpendicular bisectors

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