Pertanyaan

Hitunglah nilai r pada bangun berikut.

Hitunglah nilai $r$ pada bangun berikut.

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Jawaban terverifikasi

Jawaban

nilai r = 11.

Pembahasan

Misal tinggi segitiga besar = a, maka Misal tinggi segitiga kecil = b, maka Nilai r = Jadi, nilai r = 11.

Misal tinggi segitiga besar = a, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a squared end cell equals cell 20 squared minus 12 squared end cell row cell straight a squared end cell equals cell 400 minus 144 end cell row straight a equals cell square root of 256 end cell row straight a equals cell 16 space cm end cell end table end style

Misal tinggi segitiga kecil = b, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight b squared end cell equals cell 13 squared minus 12 squared end cell row cell straight b squared end cell equals cell 169 minus 144 end cell row straight b equals cell square root of 25 end cell row straight b equals cell 5 space cm end cell end table end style

Nilai r =

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight r equals cell straight a minus straight b end cell row straight r equals cell 16 minus 5 end cell row straight r equals cell 11 space cm end cell end table end style

Jadi, nilai r = 11.