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MATERI AJAR
TEOREMA PHYTAGORAS
Teorema Pythagoras mengatakan: Pada suatu segitiga siku-siku, kuadrat sisi panjang miring
sama dengan jumlah kuadrat sisi siku-sikunya.
Perhatikan segitiga ABC!
Jika ABC adalah segitiga siku-siku dengan panjang sisi miring a, sedangkan panjang sisi siku-
sikunya adalah b dan c maka berlaku
2 = 2 + 2
atau dalam bentuk pengurangan dapat dituliskan
2 = 2  2
c2 = 2 + b2
Penerapan Teorema Phytagoras dalam kehidupan Sehari-hari
Soal 1
Dua buah tiang berdampingan berjarak 24 m. Jika tinggi tiang masing-masing adalah 22 m dan
12 m, hitunglah panjang kawat penghubung antara ujung tiang tersebut.
Pembahasan:
Pehatikan gambar berikut:
A merupakan tiang pertama dengan tinggi 12 meter dan B merupakan tiang kedua dengan
tinggi 22 meter. AB merupakan panjang kawat penghubung antara tiang A dan tiang B. Dengan
menggunakan teorema pythagoras, panjang kawat penghubung kedua tiang:
基 = 基2 + 巨2
= 242 + (22  12)2
= 242 + 102
= 576 + 100
= 676
= 26
Jadi, panjang kawat penghubung antara ujung tiang tersebut adalah 26 meter
Soal 2
Seorang nakhoda kapal melihat pun cak mercusuar yang berjarak 100 meter dari kapal. Jika
diketahui tinggi mercusuar 60 meter, tentukan jarak nakhoda dari puncak mercusuar tersebut!
Pembahasan:
Perhatikan gambar berikut:
Dengan menggunakan teorema pythagoras, maka jarak nakhoda dari puncak mercusuar:
Jarak = 1002 + 602
= 10000 + 3600
= 13600
= 116,62
Jadi, jarak nakhoda dari puncak mercusuar tersebut adalah 116,62 meter.
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Materi ajar phytagoras didin mahpudin

  • 1. MATERI AJAR TEOREMA PHYTAGORAS Teorema Pythagoras mengatakan: Pada suatu segitiga siku-siku, kuadrat sisi panjang miring sama dengan jumlah kuadrat sisi siku-sikunya. Perhatikan segitiga ABC! Jika ABC adalah segitiga siku-siku dengan panjang sisi miring a, sedangkan panjang sisi siku- sikunya adalah b dan c maka berlaku 2 = 2 + 2 atau dalam bentuk pengurangan dapat dituliskan 2 = 2 2 c2 = 2 + b2 Penerapan Teorema Phytagoras dalam kehidupan Sehari-hari Soal 1 Dua buah tiang berdampingan berjarak 24 m. Jika tinggi tiang masing-masing adalah 22 m dan 12 m, hitunglah panjang kawat penghubung antara ujung tiang tersebut. Pembahasan: Pehatikan gambar berikut:
  • 2. A merupakan tiang pertama dengan tinggi 12 meter dan B merupakan tiang kedua dengan tinggi 22 meter. AB merupakan panjang kawat penghubung antara tiang A dan tiang B. Dengan menggunakan teorema pythagoras, panjang kawat penghubung kedua tiang: 基 = 基2 + 巨2 = 242 + (22 12)2 = 242 + 102 = 576 + 100 = 676 = 26 Jadi, panjang kawat penghubung antara ujung tiang tersebut adalah 26 meter Soal 2 Seorang nakhoda kapal melihat pun cak mercusuar yang berjarak 100 meter dari kapal. Jika diketahui tinggi mercusuar 60 meter, tentukan jarak nakhoda dari puncak mercusuar tersebut! Pembahasan: Perhatikan gambar berikut: Dengan menggunakan teorema pythagoras, maka jarak nakhoda dari puncak mercusuar: Jarak = 1002 + 602 = 10000 + 3600 = 13600 = 116,62 Jadi, jarak nakhoda dari puncak mercusuar tersebut adalah 116,62 meter.