If P is the orthocenter of ABC, AB = 13, BF = 9, and FC = 5.6, find the perimeter of AABC. E F C The perimeter of Triangle ABC, rounded to the nearest tenth, equals

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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If \( P \) is the orthocenter of \(\triangle ABC\), \( AB = 13 \), \( BF = 9 \), and \( FC = 5.6 \), find the perimeter of \(\triangle ABC\).

*Diagram Description:*

The diagram shows triangle \(\triangle ABC\) with orthocenter \(P\). Points \(D\), \(E\), and \(F\) are where altitudes from vertices \(A\), \(B\), and \(C\) intersect the opposite sides or their extensions. The line segments \(BF\) and \(FC\) are marked with given lengths.

*Problem Statement:*

The perimeter of Triangle \(\triangle ABC\), rounded to the nearest tenth, equals _________.
Transcribed Image Text:If \( P \) is the orthocenter of \(\triangle ABC\), \( AB = 13 \), \( BF = 9 \), and \( FC = 5.6 \), find the perimeter of \(\triangle ABC\). *Diagram Description:* The diagram shows triangle \(\triangle ABC\) with orthocenter \(P\). Points \(D\), \(E\), and \(F\) are where altitudes from vertices \(A\), \(B\), and \(C\) intersect the opposite sides or their extensions. The line segments \(BF\) and \(FC\) are marked with given lengths. *Problem Statement:* The perimeter of Triangle \(\triangle ABC\), rounded to the nearest tenth, equals _________.
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