Find the perimeter of the given triangle.A ABC, if AABC – APQR, BC = 6, QR= 11, PQ = 9, and PR = 13P.A13B6CR11QA. 60.5B. 22C. 18D. 15.23

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26-10-2022
Mathematics

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Find the perimeter of the given triangle.A ABC, if AABC – APQR, BC = 6, QR= 11, PQ = 9, and PR = 13P.A13B6CR11QA. 60.5B. 22C. 18D. 15.23

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CreytonN178685 CreytonN178685 · Answer 1 · 2022-10-26T08:05:13+02:00

[tex]\begin{gathered} \frac{AB}{BC}\text{ = }\frac{PQ}{RQ} \\ \frac{AB}{6}=\text{ }\frac{9}{11} \\ 11AB\text{ = 9}\times6 \\ AB\text{ = }\frac{54}{11}\text{ = 4.9} \\ \\ \text{lets find, AC} \\ \frac{AC}{CB}\text{ = }\frac{PR}{RQ} \\ \frac{AC}{6}\text{ =}\frac{13}{11} \\ 11AC\text{ = 13 }\times6 \\ AC\text{ = }\frac{78}{11}\text{ = 7} \\ \end{gathered}[/tex]

To now find the perimeter of ABC

AB + BC + AC

4.9 +6 +7 = 17.9 approximately 18