Where can the lines containing the altitudes of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
A)I only
B)I or II only
C)III only
D)I, II, or III
PLEASE HELP ME ASAP!!!!
7 years...
@anonymous
I’m dead 💀
@corey
C...
I will come back later w/ the answers
Dear,
Fellow Jiskha users
(And connection students)
As promised I present to you the answers that all my lovely’s have been wanting for seven years
(😂😂)
B
C
A
C
A
C
A
C
D
A
Essay question #1:
y=x+1
Plug in
y=-1+1
y=0
x=1
y=0
(-1,0)
Essay #2:
Reason 2...Reflexive Property
Reason 4...Hinge Theorem
...
These are the answers to
9th GEOM A:Q (connections academy)
Unit 6 Lesson 6
Inequalities in Two triangles
...
Thank you and your welcome
Have a awesome day
...
Sincerely,
What’s poppin? 💯💯
To answer this question, let's first understand what an altitude of a triangle is. In a triangle, the altitude is a line segment that connects a vertex to the line containing the opposite side, such that the line segment is perpendicular to the side.
In an obtuse triangle, one of the angles is greater than 90 degrees. Since there are three angles in a triangle, an obtuse triangle will have two acute angles and one obtuse angle.
Now let's consider each option:
I. Inside the triangle: This means that the lines containing the altitudes of the obtuse triangle intersect within the boundaries of the triangle itself. This is always true for any triangle, including an obtuse triangle. Therefore, this option is valid.
II. On the triangle: This means that the lines containing the altitudes of the obtuse triangle intersect on the sides of the triangle. Since an obtuse triangle has three sides, it is possible for the lines containing the altitudes to intersect on the sides of the triangle. Therefore, this option is valid.
III. Outside the triangle: This means that the lines containing the altitudes of the obtuse triangle intersect outside the boundaries of the triangle. However, since the altitudes are defined as the lines that connect a vertex to the opposite side, these lines will never extend beyond the boundaries of the triangle in the case of an obtuse triangle. Therefore, this option is not valid.
Based on our analysis, the correct answer is:
B) I or II only