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T H E O R E M P Y T H A G O R A S

T H E O R E M P Y T H A G O R A S. 5cm x 5cm = 25cm 2. 4cm x 4cm = 16cm 2. 5cm. 3cm. 4cm. 3cm x 3cm = 9cm 2. Yr ochr hirraf yw’r HYPOTENWS. Pob tro cyferbyn a’r ongl sgw âr. Felly 25 = 16 + 9. (5 x 5) = (4x4) + (3x3). 5 2 = 4 2 + 3 2. Yr Hypotenws (yr ochr hirraf).

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T H E O R E M P Y T H A G O R A S

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  1. T H E O R E M P Y T H A G O R A S

  2. 5cm x 5cm = 25cm2 4cm x 4cm = 16cm2 5cm 3cm 4cm 3cm x 3cm = 9cm2 Yr ochr hirraf yw’r HYPOTENWS Pob tro cyferbyn a’r ongl sgwâr

  3. Felly 25 = 16 + 9 (5 x 5) = (4x4) + (3x3) 52 = 42 + 32 Yr Hypotenws (yr ochr hirraf) Y ddwy ochr arall Theorem Pythagoras h2 = a2 + b2 h a b

  4. Camau hawdd i ddarganfod ? ? 8cm CAM 1 rhifau (mwyaf yn gyntaf) 6cm CAM 2 sgwario CAM 3 + neu - Ochr hirraf? CAM 3 Ailisraddio √

  5. Camau hawdd i ddarganfod ? ? 17cm CAM 1 rhifau (mwyaf yn gyntaf) 13cm CAM 2 sgwario CAM 3 + neu - Ochr hirraf? CAM 3 Ailisraddio √

  6. ? Camau hawdd i ddarganfod ? 8cm 5cm CAM 1 rhifau (mwyaf yn gyntaf) CAM 2 sgwario CAM 3 + neu - Ochr hirraf? CAM 3 Ailisraddio √

  7. cm2 cm2 cm2 Yr ochr hirraf yw’r Pob tro cyferbyn a’r

  8. Cyfanswm arwynebedd y ddau sgwar lleiaf yw arwynebedd y sgwar mwyaf. MAE HYN YN WIR BOB TRO! THEOREM PYTHAGORAS YR ATEB

  9. THEOREM PYTHAGORAS Mae rheol i'w chael sy'n cysylltu hyd tair ochr triongl ongl sgwâr. Enw'r rheol honno yw Theorem Pythagoras Defnyddir Theorem Pythagoras i ddarganfod hyd ochr coll mewn triongl ongl sgwâr. Yr ochr sydd gyferbyn â’r ongl sgwâr yw yr ochr hiraf yn y triongl. Enw’r ochr yma ydy Hypotenws Hypotenws

  10. h a h2 = a2 + b2 b THEOREM PYTHAGORAS Mae Theorem Pythagoras yn dweud:

  11. THEOREM PYTHAGORAS Ymarfer Ar gyfer y trionglau canlynol, ysgrifennwch Theorem Pythagoras ar eu cyfer z g c e b x y d f g2 = f2 + e2 c2 = b2 + d2 y2 = x2 + z2

  12. x 6cm 8cm x =100 THEOREM PYTHAGORAS DARGANFOD HYD YR HYPOTENWS x2 = 62 + 82 x2 = 36 + 64 x2 = 100 x = 10cm Cofiwch mai yr hypotenws yw’r ochr hiraf bob tro, felly mae’r ateb yma yn gwneud synnwyr

  13. THEOREM PYTHAGORAS Ymarfer Darganfyddwch hyd yr hypotenws ar gyfer y trionglau canlynol 6m x 8mm 11m x 6mm x 7cm 24cm

  14. THEOREM PYTHAGORAS DARGANFOD HYD YR OCHR ARALL 52 = 42 + x2 5cm 25 = 16 + x2 x 25 – 16 = x2 9 = x2 4cm √9 = x x = 3cm

  15. THEOREM PYTHAGORAS Ymarfer Darganfyddwch yr hyd coll ar gyfer y trionglau canlynol 5.2m x 26cm x 18.7m 10cm 14.7mm 6.2mm x

  16. 6cm 8cm THEOREM PYTHAGORAS DARGANFOD HYD OCHRAU TRIONGL ISOSGELES Cofiwch: Mae Theorem Pythagoras dim ond yn gweithio ar gyfer trionglau ongl sgwâr, felly mae’n rhaid rhannu’r triongl yn ddau er mwyn cael triongl ongl sgwâr. x x 6cm x2 = 62 + 42 x2 = 36 + 16 x2 = 52 4cm x = √52 x = 7.2cm (1.ll.d)

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