Tsanangudzo uye zvimiro zvepakati pekona yekona yekurudyi

Muchinyorwa chino, tichatarisa tsananguro uye zvimiro zvepakati yekona yekona yekurudyi inokweverwa kune hypotenuse. Isu tichaongorora zvakare muenzaniso wekugadzirisa dambudziko rekubatanidza iyo theoretical material.

Kusarudza pakati pekona yekona yekurudyi

Median ndicho chikamu chemutsara chinobatanidza gonyo regonyo nepakati perimwe divi.

Triangle yekurudyi igonyo nhanhatu umo imwe yemakona iri kurudyi (90°) uye mamwe maviri ari acute (<90°).

Hunhu hwepakati hwegonyonhatu chaidzo

Chivakwa 1

Median (AD) mukona yekona yekurudyi yakadhonzwa kubva kumberi kwekona yekurudyi (∠LAC) kune hypotenuse (BC) ihafu ye hypotenuse.

• BC = 2AD
• AD = BD = DC

Mhedzisiro: Kana iyo yepakati yakaenzana nehafu yerutivi rwainoswededzwa kwairi, ipapo rutivi urwu ihypotenuse, uye katatu inokona-kurudyi.

Chivakwa 2

Median yakakweverwa ku hypotenuse yekona yekona yekurudyi yakaenzana nehafu yeskweya mudzi wehuwandu hwemakona emakumbo.

Kune yedu katatu (ona mufananidzo uri pamusoro):

Inotevera kubva uye Properties 1.

Chivakwa 3

Median yakadonhedzwa pa hypotenuse yegonyonhatu yekurudyi yakaenzana neradius yedenderedzwa yakatenderedza gonyo.

Avo. BO zvose zviri pakati nepakati neradius.

Cherechedza: Inoshandawo kune matatu matatu akarurama, zvisinei nerudzi rwegonyo.

Muenzaniso wedambudziko

Hurefu hwepakati yakadhonzwa mu hypotenuse yekona yekona ndeye 10 cm. Uye imwe yemakumbo ndeye 12 cm. Tsvaga perimeter yegonyo.

mhinduro

The hypotenuse yegonyo, sezvinotevera kubva Properties 1, kaviri yepakati. Avo. zvakaenzana: 10 cm ⋅ 2 = 20 cm.

Tichishandisa theorem yePythagorean, tinowana kureba kwegumbo rechipiri (tinotora se "B", gumbo rakakurumbira - re “Ku”, hypotenuse - ye "Na"):

b² =c² - uye² = 20² - 12² = 256.

Nekudaro, iyo b = 16cm.

Iye zvino tava kuziva hurefu hwemativi ose uye tinogona kuverenga perimeter yemufananidzo:

P_△ = 12 cm + 16 cm + 20 cm = 48 cm.