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TEOREMA PYTHAGORAS

TEOREMA PYTHAGORAS. Oleh Ayu Anindra Tama Indah Damayanti Florensia Evindonta Bangun Rahmad Abi Nurohman. Luas Persegi. B. Perhatikan persegi ABCD!!. s. A. AB. =. BC. =. CD. =. DA. =. S. Dan kita ketahui luas persegi =. s. s. s. x. s. L. =. C. D. s. Luas Segitiga.

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TEOREMA PYTHAGORAS

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  1. TEOREMA PYTHAGORAS Oleh Ayu Anindra Tama Indah Damayanti Florensia Evindonta Bangun Rahmad Abi Nurohman

  2. Luas Persegi B Perhatikan persegi ABCD!! s A AB = BC = CD = DA = S Dan kita ketahui luas persegi = s s s x s L = C D s

  3. Luas Segitiga Perhatikan persegi panjang PQRS l PQ = RS = l Q P PS = QR = P Luas persegi panjang PQRS = L l = P X Perhatikan diagonal PR yang membagi 2 bagian sama besar persegi panjang PQRS, yaitu P P dan PQR RSP Sehingga didapat luas segitiga= p l L x = 1/2 R l S

  4. Menemukan Teorema Pythagoras ABCD dan Perhatikan PQRS A P B 2 = b AP = BQ = CR = DS a 1 PB = = RD SA = c QC = Q L ABCD - PQRS = 4 a = 4 x ½ x b x c = 2.b.c S 3 b 4 Luas persegi PQRS = a2 C D c R

  5. R K L L L PONS + RLQP = c c2 = (b x c) + (b x c) Q S c b P = 2bc b2 b L L PQMO + KRPS = = (b x b) + (c x c) O N M + c2 = b2 L KLMN = L. PONS + L RLQP + L PQMO + L KRPS

  6. R c K A P L B 2 c2 c a 1 Q S Q b P b b2 a S 3 b 4 C D c O R N M Luaspersegi ABCD = Luaspersegi KLMN 2 bc + a2 = 2 bc + b2 + c2 a2 = b2 + c2

  7. a a a2 Kesimpulan tersebut akan tampak seperti gambar disamping. Kesimpulan tersebut selanjutnya dikenal dengan teorema Pythagoras, yang kemudian dirumuskan sebagai berikut. “Untuk setiap segitiga siku-siku, berlaku kuadrat panjang sisi miring sama dengan jumlah kuadrat panjang sisi siku-sikunya.” a2 = b2 + c2 c2 b bb2

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