1 / 9

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.

jeanne
Download Presentation

ПРЕЗЕНТАЦИЯ

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related