http://www.ck12.org Chapter 5. Relationships with Triangles
2.His the centroid of 4 ABCandDC= 5 y−16. Findxandy.
- True or false: The median bisects the side it intersects.
Answers:
- To find the equation of the median, first we need to find the midpoint ofAC, using the Midpoint Formula.
(
− 6 + 6
2
,
− 4 +(− 4 )
2
)
=
(
0
2
,
− 8
2
)
= ( 0 ,− 4 )
Now, we have two points that make a line,Band the midpoint. Find the slope andy−intercept.
m=− 4 − 4
0 −(− 2 )
=
− 8
2
=− 4
y=− 4 x+b
− 4 =− 4 ( 0 )+b
− 4 =bThe equation of the median isy=− 4 x− 4
2.HFis half ofBH. Use this information to solve forx. Fory,HCis two-thirds ofDC. Set up an equation for both.