Roboguru

1. Diketahui himpunan-himpunan dibawah ini yang membentuk segitiga siku-siku adalah... (i)    (ii)    (iii)   (iv)

Pertanyaan

1. Diketahui himpunan-himpunan dibawah ini yang membentuk segitiga siku-siku adalah...

(i)   begin mathsize 14px style open curly brackets 4 comma 5 comma 6 close curly brackets end style

(ii)  begin mathsize 14px style open curly brackets square root of 2 comma square root of 2 comma 2 close curly brackets end style 

(iii) begin mathsize 14px style open curly brackets 6 comma 7 comma 9 close curly brackets end style 

(iv) begin mathsize 14px style open curly brackets square root of 3 comma 5 comma square root of 34 close curly brackets end style        undefined      space undefined 

Pembahasan Soal:

Ciri-ciri dari segitiga siku-siku yaitu kuadrat sisi miring sama dengan jumlah kuadrat sisi-sisi yang lain. Berdasarkan teorema Pythagoras, diperoleh:

begin mathsize 14px style left parenthesis straight i right parenthesis space open curly brackets 4 comma 5 comma 6 close curly brackets 6 squared space left parenthesis... right parenthesis space 4 squared plus 5 squared 36 space left parenthesis... right parenthesis space 16 plus 25 36 space left parenthesis less than right parenthesis space 41  left parenthesis ii right parenthesis space open curly brackets square root of 2 comma space square root of 2 comma space 2 close curly brackets 2 squared space left parenthesis... right parenthesis space square root of 2 squared plus square root of 2 squared 4 space space left parenthesis... right parenthesis space 2 plus 2 4 space space left parenthesis equals right parenthesis space 4  left parenthesis iii right parenthesis space open curly brackets 6 comma 7 comma 9 close curly brackets 9 squared space left parenthesis... right parenthesis space 6 squared plus 7 squared 81 space space left parenthesis... right parenthesis space 36 plus 49 81 space space left parenthesis less than right parenthesis space 85  left parenthesis iv right parenthesis space open curly brackets square root of 3 comma 5 comma square root of 34 close curly brackets square root of 34 squared space left parenthesis... right parenthesis space square root of 3 squared plus 5 squared 34 space space space space space space left parenthesis... right parenthesis space 3 plus 25 34 space space space space space space left parenthesis greater than right parenthesis space 28 end style 

Jadi, yang membentuk segitiga siku-siku adalah begin mathsize 14px style open curly brackets square root of 2 comma square root of 2 comma 2 close curly brackets end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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