{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

5.3 Medians &amp; Altitudes

# 5.3 Medians &amp; Altitudes - • Example If MX=4 find...

This preview shows pages 1–8. Sign up to view the full content.

5.3 Medians & Altitudes of a Pg 279

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Median of a triangle Median of a triangle- segment whose endpts are a vertex of a triangle and the midpt of the opposite side. The three medians of a triangle are ALWAYS concurrent! Seg AM is a median of ABC A B C M
Centroid Centroid- the pt of concurrency of the 3 medians of a triangle (i.e. pt. X) The centroid is always inside the triangle The centroid is also the balancing point of the triangle. M A O X B N C

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Thm 5.7 Concurrency of Medians of a The medians of a triangle intersect at a pt that is 2/3 of the distance from each vertex to the midpt of the opposite side. (i.e. AX=2/3 AN)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: • Example: If MX=4, find MB and XB • XB=2/3 MB ∴ XM=1/3 MB • So, MB=12 and XB=8 A O B X N M C Example Find the coordinates of the centroid of the triangle with vertices L(3,6) K(5,2) J(7,10). (Hint: graph it 1 st !) • (5,6) Altitude of a triangle • Altitude of a triangle-the ⊥ seg form a vertex to the opposite side of the line that contains the opposite side. _ _ Orthocenter • Orthocenter- the lines containing the three altitudes of a triangle are concurrent, pt of concurrency is the orthocenter orthocenter Assignment Assignment...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern