Jawaban:
[tex] \sf {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] \sf {a}^{2} = {(3 \sqrt{3} )}^{2} - ( { \sqrt{2}) }^{2} [/tex]
[tex] \sf {a}^{2} = ( \sqrt{9 \times 3}) - 2[/tex]
[tex] \sf {a}^{2} = 27 - 2[/tex]
[tex] \sf {a}^{2} = 25[/tex]
[tex] \sf a = \sqrt{25} [/tex]
[tex] \sf a = 5 \: cm[/tex]
[tex] \sf {c}^{2} = {a}^{2} + {b}^{2} \: \: \\ \sf {10}^{2} = {3x}^{2} + {4x}^{2} \\ \sf 100 = 9x + 16x \: \: \\ \sf 100 = 25 {x}^{2} \: \: \: \: \: \: \: \: \: \: \\ \sf {x}^{2} = \frac{100}{25} \: \: \: \: \: \: \: \: \\ \sf {x}^{2} = 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf x = \sqrt{4} \: \: \: \: \: \: \: \: \: \: \: \\ \sf x = 2 \: cm \: \: \: \: \: \: \: \: [/tex]
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Verified answer
Jawaban:
Nomor 3.
Panjang siku - siku lainnya
[tex] \sf {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] \sf {a}^{2} = {(3 \sqrt{3} )}^{2} - ( { \sqrt{2}) }^{2} [/tex]
[tex] \sf {a}^{2} = ( \sqrt{9 \times 3}) - 2[/tex]
[tex] \sf {a}^{2} = 27 - 2[/tex]
[tex] \sf {a}^{2} = 25[/tex]
[tex] \sf a = \sqrt{25} [/tex]
[tex] \sf a = 5 \: cm[/tex]
Nomor 4.
Mencari nilai x
[tex] \sf {c}^{2} = {a}^{2} + {b}^{2} \: \: \\ \sf {10}^{2} = {3x}^{2} + {4x}^{2} \\ \sf 100 = 9x + 16x \: \: \\ \sf 100 = 25 {x}^{2} \: \: \: \: \: \: \: \: \: \: \\ \sf {x}^{2} = \frac{100}{25} \: \: \: \: \: \: \: \: \\ \sf {x}^{2} = 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf x = \sqrt{4} \: \: \: \: \: \: \: \: \: \: \: \\ \sf x = 2 \: cm \: \: \: \: \: \: \: \: [/tex]