5-3 Notes
Name_______________________
A median of a triangle is a segment drawn from a vertex point to the _______________of the side opposite that point.
To find the equation of the median of given side of a triangle
1) Find the ______________ of the side to which the median will be drawn (formula:_____________,_____________)
2) Find the ______________ of the median by using 1) the vertex point and 2) the midpoint (formula:_____________)
3) Write the equation of the median in point-slope form using the midpoint from step #1 and the slope from step #2
Point –slope equation of a line:__________________________
Find the equation for the 3 medians in each triangle.
Median of AB: _______________________
Median of AB: _______________________
Median of AC: _______________________
Median of AC: _______________________
Median of BC: _______________________
Median of BC: _______________________
To draw the median of a triangle using a ruler.
1) Identify the vertex point from which the median will be drawn. Find the length of the side OPPOSITE that vertex point
2) Divide the measurement in half and measure that distance from one endpoint (this location will be the midpoint)
3) Draw a segment from the vertex point to the measured midpoint using a straightedge.
Construct the 3 medians for triangle ABC. Measure all lengths to the nearest .1 cm and record the values on the diagram.
A
B
C
An altitude of a triangle is a segment drawn from a vertex point that is ________________to the opposite side /extension
of the side
To find the equation of the altitude of one side of a triangle (in point-slope form)
1) Find the________________ of the side to which you will be drawing the altitude (formula:_____________)
2) Since the altitude will be ______________ to this side, the slope of the altitude will be the _________ ___________
3) Use one known point (vertex) and the slope from step #2 to write the equation in pt.-slope form: ____________________
Find the equation for the 3 altitudes in each triangle.
Altitude of AB: _______________________
Altitude of AB: _______________________
Altitude of AC: _______________________
Altitude of AC: _______________________
Altitude of BC: x = ________________
Altitude of BC: _______________________
To construct altitudes, use the corner of a notecard as right angle.
1) Locate the side to which the altitude is being drawn.
2) Line up the bottom of the notecard horizontally along this segment
3) Slide the notecard until it vertically aligns with the vertex point from which you are drawing the altitude. Draw the
altitude along the edge of the notecard. *For an obtuse triangle, extend the side for altitudes drawn from each acute angle*
A
D
E
B
C
F