Jawaban:
12²+8²
=144+64
=208
√208
=14,4
•°• Sebuah persegi panjang memiliki panjang 12 cm dan lebar 8 cm, panjang salah satu diagonalnya adlh [tex]\underline{\boxed{\red{\bf{4 \sqrt{13}~cm}}}}[/tex]
[tex][/tex]
Penjelasan dengan langkah-langkah:
[tex] \: [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Panjang Diagonal }}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{P² × \ell²}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{12² + 8²}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{(12 × 12) + (8 × 8)}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{144 + 64}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{208}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\underline{\boxed{\red{\bf{4 \sqrt{13}~cm}}}}[/tex]
[tex] \\ \\ [/tex]
[tex]_________________________________________________________________________________________________________________________[/tex]
[tex] \\ \\ \\ \\ \\ [/tex]
====
[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex]
[tex]\colorbox{black} { \blue{ \boxed{ \boxed{\rm\color{FF6666}{༆@}\color{FFB266}{O}\color{B2FF66}{n}\color{66FF66}{l}\color{66FFFF}{y}\color{66B2FF}{Y}\color{6666FF}{o}\color{B266FF}{o}\color{FF66FF}{j}\color{FF66B2}{i}\color{FF9999}{n}\color{FFCC99}{࿐}}}}}[/tex]
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Jawaban:
12²+8²
=144+64
=208
√208
=14,4
•°• Sebuah persegi panjang memiliki panjang 12 cm dan lebar 8 cm, panjang salah satu diagonalnya adlh [tex]\underline{\boxed{\red{\bf{4 \sqrt{13}~cm}}}}[/tex]
[tex][/tex]
Penjelasan dengan langkah-langkah:
[tex] \: [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Panjang Diagonal }}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{P² × \ell²}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{12² + 8²}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{(12 × 12) + (8 × 8)}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{144 + 64}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\sf{\sqrt{208}}[/tex]
[tex]\sf{Diagonal}[/tex] = [tex]\underline{\boxed{\red{\bf{4 \sqrt{13}~cm}}}}[/tex]
[tex] \\ \\ [/tex]
[tex]_________________________________________________________________________________________________________________________[/tex]
[tex] \\ \\ \\ \\ \\ [/tex]
====
[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex]
[tex] \: [/tex]
[tex]\colorbox{black} { \blue{ \boxed{ \boxed{\rm\color{FF6666}{༆@}\color{FFB266}{O}\color{B2FF66}{n}\color{66FF66}{l}\color{66FFFF}{y}\color{66B2FF}{Y}\color{6666FF}{o}\color{B266FF}{o}\color{FF66FF}{j}\color{FF66B2}{i}\color{FF9999}{n}\color{FFCC99}{࿐}}}}}[/tex]