Question

Panjang siku-siku segitiga adalah 4x cm dan 3x cm. Jika panjang sisi hipotenusanya 35 cm. Berapakah luas segitiga tersebut?

maaf ulang td lupa ku salin no. nya​

Answer 1

•°• Panjang siku-siku segitiga adlh 4x cm dan 3x cm. Jika panjang sisi hipotenusanya 35 cm, maka luas segitiga tsbt adlh [tex]\underline{\boxed{\red{\bf{294~cm²}}}}[/tex]

[tex] \\ \\ [/tex]

Penjelasan dengan langkah-langkah:

• a = 4x cm
• b = 3x cm
• c = 35 cm

[tex] \\ \: [/tex]

Tentukan x nya

[tex]\sf{a² + b²}[/tex] = [tex]\sf{c²}[/tex]

[tex]\sf{4x² + 3x²}[/tex] = [tex]\sf{35²}[/tex]

[tex]\sf{16x² + 9x²}[/tex] = [tex]\sf{1.225}[/tex]

[tex]\sf{25x²}[/tex] = [tex]\sf{1.225}[/tex]

[tex]\sf{x²}[/tex] = [tex]\sf{\dfrac{1.225}{25}}[/tex]

[tex]\sf{x²}[/tex] = [tex]\sf{49}[/tex]

[tex]\sf{x}[/tex] = [tex]\sf{\sqrt{49}}[/tex]

[tex]\sf{x}[/tex] = [tex]\sf{\sqrt{7²}}[/tex]

[tex]\sf{x}[/tex] = [tex]\underline{\boxed{\bf{7}}}[/tex]

Maka, nilai x nya adlh 7

[tex] \\ \: [/tex]

Subtituskan x

a = 4x

a = 4(7)

a = [tex]\underline{\boxed{\bf{28~cm}}}[/tex]

[tex] \: [/tex]

b = 3x

b = 3(7)

b = [tex]\underline{\boxed{\bf{21~cm}}}[/tex]

Jadi, nilai a dan b adlh 28 cm dan 21 cm

[tex] \\ \: [/tex]

Jika semua sdh ketemu,barulah menentukan luas segitiganya

[tex]\sf{L_{Segitiga}}[/tex] = [tex]\sf{½ × a × t}[/tex]

[tex]\sf{L_{Segitiga}}[/tex] = [tex]\sf{\bcancel{½} × \bcancel{28}⁴ × 21}[/tex]

[tex]\sf{L_{Segitiga}}[/tex] = [tex]\sf{4 × 21}[/tex]

[tex]\sf{L_{Segitiga}}[/tex] = [tex]\underline{\boxed{\red{\bf{294~cm²}}}}[/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]