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terdapat beberapa triple pythagoras sederhana yang perlu kita hafalkan sebagai efisiensi waktu dalam mengerjakan persoalan segitiga siku-siku, diantaranya:
[tex] \begin{array}{ | c|c|c | } \hline \underline{\bold{a}}&\underline{\bold{b}}&\underline{\bold{c}}\\ \hline 3&4&5\\ \hline 5&12&13\\ \hline 8&15&17\\ \hline 7&24&25\\ \hline 9&40&41\\ \hline 11&60&61\\ \hline 20&21&29\\ \hline 12&35&37 \\ \hline \end{array} \: \: \boxed{\begin{array}{l||r} a^2=c^2-b^2& a=\sqrt{c^2-b^2}\\b^2=c^2-a^2& b=\sqrt{c^2-a^2}\\ c^2=a^2+b^2& c=\sqrt{a^2+b^2}\end{array}}[/tex]
Dimana:
Berlaku Kelipatan seperti 6, 8, 10 sebagai kelipatan 2 dari 3, 4, 5.
[tex]\begin{aligned} Panjang~CE &= \sqrt{(AD)^2 - (AE - AB)^2} \\&= \sqrt{(13~cm)^2 - (13~cm - 8~cm)} \\&= \sqrt{(13~cm)^2 - (5~cm)^2} \\&= \sqrt{169~cm^2 - 25~cm^2} \\&= \sqrt{144~cm^2} \\&= \boxed{\bold{\underline{12~cm}}} \end{aligned}[/tex]
[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 07 - 06 - 2023}}[/tex]
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Verified answer
Teorema Pythagoras
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terdapat beberapa triple pythagoras sederhana yang perlu kita hafalkan sebagai efisiensi waktu dalam mengerjakan persoalan segitiga siku-siku, diantaranya:
[tex] \begin{array}{ | c|c|c | } \hline \underline{\bold{a}}&\underline{\bold{b}}&\underline{\bold{c}}\\ \hline 3&4&5\\ \hline 5&12&13\\ \hline 8&15&17\\ \hline 7&24&25\\ \hline 9&40&41\\ \hline 11&60&61\\ \hline 20&21&29\\ \hline 12&35&37 \\ \hline \end{array} \: \: \boxed{\begin{array}{l||r} a^2=c^2-b^2& a=\sqrt{c^2-b^2}\\b^2=c^2-a^2& b=\sqrt{c^2-a^2}\\ c^2=a^2+b^2& c=\sqrt{a^2+b^2}\end{array}}[/tex]
Dimana:
Berlaku Kelipatan seperti 6, 8, 10 sebagai kelipatan 2 dari 3, 4, 5.
Penyelesaian Soal
[tex]\begin{aligned} Panjang~CE &= \sqrt{(AD)^2 - (AE - AB)^2} \\&= \sqrt{(13~cm)^2 - (13~cm - 8~cm)} \\&= \sqrt{(13~cm)^2 - (5~cm)^2} \\&= \sqrt{169~cm^2 - 25~cm^2} \\&= \sqrt{144~cm^2} \\&= \boxed{\bold{\underline{12~cm}}} \end{aligned}[/tex]
[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 07 - 06 - 2023}}[/tex]