Which of the following statements are true for △ABC? Select all that apply. Which of the following statements are true for △ABC?
Select all that apply.
A. AH¯¯¯¯¯¯ is an altitude.
B. IH¯¯¯¯¯¯ is a median.
C. JC¯¯¯¯¯¯ is a median.
D. The medians and altitudes intersect at the same point
Answers
Hi
Acc to me the correct answer is D.
hope it help u
The correct options are
A. AH - is an altitude
C. JC -is a median.
Given:
ABC is a triangle
To find:
Select all that apply.
A. AH¯¯¯¯¯¯ is an altitude.
B. IH¯¯¯¯¯¯ is a median.
C. JC¯¯¯¯¯¯ is a median.
D. The medians and altitudes intersect at the same point
Solution:
Let's know about the Altitude and Median of a triangle
An altitude and a median are two different types of lines that can be drawn in a triangle.
An altitude of a triangle is a line segment drawn from a vertex of the triangle to the opposite side and is perpendicular to that side. This line segment represents the shortest distance from the vertex to the opposite side.
A median of a triangle is a line segment that extends from a vertex of the triangle to the midpoint of the opposite side. Each triangle has three medians, each passing through a different vertex.
From the figure,
AH is a line segment drawn from vertices A on the side BC
AG is a line segment drawn from vertice A to the midpoint of BC
JC is a line segment drawn from vertices C to the midpoint of AB
Hence,
From the given explanations
AH - is an altitude
JC -is a median.
Therefore,
The correct options are
A. AH - is an altitude
C. JC -is a median.
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