Nilai × pada segitiga siku siku berikut:
rusuk a = ×
rusuk b atau alas segitiga = 8√5
rusuk c atau hipotenusa = 3×
brapakah nilai × nya .....
a. √10
b. √15
c. √32
d. √40
tolong dibuat jalan dan caranya ya. trmkasih
rusuk a = ×
rusuk b atau alas segitiga = 8√5
rusuk c atau hipotenusa = 3×
brapakah nilai × nya .....
a. √10
b. √15
c. √32
d. √40
tolong dibuat jalan dan caranya ya. trmkasih
Takamori37
Asumsi bahwa segitiga berikut adalah segitiga siku-siku yang mana berlaku:
![$\begin{align}[\text{Rusuk c}]^2&=[\text{Rusuk a}]^2\times[\text{Rusuk b}]^2 \\ (3x)^2&=(8\sqrt5)^2+x^2 \\ 9x^2&=8^2\times5+x^2 \\ 9x^2&=64\times5+x^2 \\ 9x^2&=320+x^2 \\ 9x^2-x^2&=320 \\ 8x^2&=320 \\ x^2&=320/8 \\ x^2&=40 \\ x&=\sqrt{40} \end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%5B%5Ctext%7BRusuk+c%7D%5D%5E2%26%3D%5B%5Ctext%7BRusuk+a%7D%5D%5E2%5Ctimes%5B%5Ctext%7BRusuk+b%7D%5D%5E2+%5C%5C+%283x%29%5E2%26%3D%288%5Csqrt5%29%5E2%2Bx%5E2+%5C%5C+9x%5E2%26%3D8%5E2%5Ctimes5%2Bx%5E2+%5C%5C+9x%5E2%26%3D64%5Ctimes5%2Bx%5E2+%5C%5C+9x%5E2%26%3D320%2Bx%5E2+%5C%5C+9x%5E2-x%5E2%26%3D320+%5C%5C+8x%5E2%26%3D320+%5C%5C+x%5E2%26%3D320%2F8+%5C%5C+x%5E2%26%3D40+%5C%5C+x%26%3D%5Csqrt%7B40%7D+%5Cend%7Balign%7D "$\begin{align}[\text{Rusuk c}]^2&=[\text{Rusuk a}]^2\times[\text{Rusuk b}]^2 \\ (3x)^2&=(8\sqrt5)^2+x^2 \\ 9x^2&=8^2\times5+x^2 \\ 9x^2&=64\times5+x^2 \\ 9x^2&=320+x^2 \\ 9x^2-x^2&=320 \\ 8x^2&=320 \\ x^2&=320/8 \\ x^2&=40 \\ x&=\sqrt{40} \end{align}")
1 votes
Thanks 2
5dregensleyer
ok saya paham
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