3. (10 pts) Suppose that AABC is an equilateral triangle and that P is a point in its interior. Perpendiculars are dropped from P to each side of the triangle at points X, Y, and Z. Prove: PX + PY + PZ is always equal to the height of the triangle, no matter where P is, by using area as a tool in your proof! C X Y A Ꮓ B [Hint: you'll need to draw a few extra segments first. Apply the triangle area formula a bunch of times.]
3. (10 pts) Suppose that AABC is an equilateral triangle and that P is a point in its interior. Perpendiculars are dropped from P to each side of the triangle at points X, Y, and Z. Prove: PX + PY + PZ is always equal to the height of the triangle, no matter where P is, by using area as a tool in your proof! C X Y A Ꮓ B [Hint: you'll need to draw a few extra segments first. Apply the triangle area formula a bunch of times.]
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 2CC
Related questions
Question
![3. (10 pts) Suppose that AABC is an equilateral triangle and that P is a point in its
interior. Perpendiculars are dropped from P to each side of the triangle at points X,
Y, and Z. Prove:
PX + PY + PZ is always equal to the height of the triangle, no matter where P is,
by using area as a tool in your proof!
C
X
Y
A
Ꮓ
B
[Hint: you'll need to draw a few extra segments first. Apply the triangle area formula
a bunch of times.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322742eb-4a31-4e3c-832a-7268262542b0%2F0238ebda-7ca4-4542-9d0b-02a80ccb1ae8%2F2am7fs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. (10 pts) Suppose that AABC is an equilateral triangle and that P is a point in its
interior. Perpendiculars are dropped from P to each side of the triangle at points X,
Y, and Z. Prove:
PX + PY + PZ is always equal to the height of the triangle, no matter where P is,
by using area as a tool in your proof!
C
X
Y
A
Ꮓ
B
[Hint: you'll need to draw a few extra segments first. Apply the triangle area formula
a bunch of times.]
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