5-2 Medians & Altitudes

Front

The altitudes of a triangle intersect at the _________________________.

Back

Orthocenter

Tags

CCSS.HSG.CO.C.10

Front

Which of the following words describes the point shown in the figure? A. Centerpoint, B. Orthocenter, C. Centroid, D. Midpoint

Back

C. Centroid

Tags

CCSS.HSG.C.A.3

Front

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15. Find the length of YZ.

Back

30

Tags

CCSS.HSG.CO.C.10

Front

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15. If XP = 8, then PC = _______.

Back

4

Tags

CCSS.HSG.CO.C.10

Front

Which of the following words describes the point shown in the figure? A. Centerpoint, B. Orthocenter, C. Centroid, D. Altitude-point

Back

B. Orthocenter

Tags

CCSS.HSG.C.A.3

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect; it is also the triangle's center of mass.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a median in a triangle?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a, b, and c are the lengths of the sides.

Tags

CCSS.HSG.CO.C.10

Front

What is an altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes intersect.

Tags

CCSS.HSG.CO.C.10