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ПРЕЗЕНТАЦИЯ

ПРЕЗЕНТАЦИЯ. Даниел Йорданов 9б. Даден е правоъгълен триъгълник ABC . Височината от върха C дели хипотенузата на части AH и BH , като AH = 6 см. a, b, c, a 1 , m c , R, r, h c , S, P=?. ∆ ABC -правоъг. AH = 6 см <А = 30 ° < B = 60 ° CH = h <ACH = 60 ° <BCH = 30 °. ∆ AHC -пр.

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ПРЕЗЕНТАЦИЯ

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  1. ПРЕЗЕНТАЦИЯ Даниел Йорданов 9б

  2. Даден е правоъгълен триъгълник ABC. Височината от върха C дели хипотенузата на части AH и BH, като AH=6 см. a, b, c, a1, mc, R, r, hc, S, P=?

  3. ∆ABC-правоъг. AH = 6 см <А = 30° <B = 60° CH = h <ACH = 60° <BCH = 30°

  4. ∆AHC-пр. tg.30° = CH AH √3 = CH 3 6 6√3 = CH.3 • CH = 2√3 см

  5. ∆BHC-пр. tg.60° = HC BH √3 = 2√3 BH • ВН = 2 см <ВCH = 30° • 2ВН= ВС • ВС = 4 см

  6. ∆ АВС-правоъг. tg.30° = BC AC √3 = 4 3 AC => AC = 4√3 см

  7. OA=OB=OC=R=? в ∆ABC ∆АВС-правоъг. =>R = 1 c = mc 2 =>R = 1 .8 = 4 см 2

  8. OD =r = ?, ∆АВС-правоъг. ∆АВС-правоъг. r= a + b – c 2 r= 4 + 4√3 – 8 2 r= 4√3 – 4 2 r= 2(√3-1) см

  9. S, P = ? S ∆ABC=a .b , ∆АВС-пр. P = a + b + c 2 P = 4 + 4√3 + 8 S ∆ABC= 4 .4√3 P = 12 + 4√3 2 P = 4 (3+√3) см S ∆ABC= 8√3 см²

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