Ire -iren Triangles 7: Rarrabuwa Dangane Da Bangarorinsu Da Kuma Mala'ikunsu

Wadatacce

• Siffar geometric wanda za a iya raba shi gwargwadon halaye daban -daban.
• Amfanin triangles
• Menene triangle
• Yadda ake nemo kewaye da yanki na alwatika
• Yadda ake rarrabe alwatika
• Triangles bisa ga tsawon bangarorin su
• 1. Triangle mai daidaitawa
• 2. Scalene triangle
• 3. Isosceles triangle
• Triangles bisa ga kusurwoyin su
• 4. Dama uku
• 5. obtuse alwatika
• 6. Ƙananan alwatika
• 7. Triangle kusurwa
• ƙarshe

Siffar geometric wanda za a iya raba shi gwargwadon halaye daban -daban.

A lokacin ƙuruciyarmu, duk dole ne mu halarci azuzuwan lissafi a makaranta, inda dole ne mu yi nazarin nau'ikan alwatika daban -daban. Koyaya, yayin da shekaru ke wucewa, zamu iya manta wasu abubuwan da muka yi nazari. Ga wasu mutane lissafin lissafi duniya ce mai ban sha'awa, amma wasu sun fi jin daɗin duniyar haruffa.

A cikin wannan labarin za mu yi bitar nau'ikan triangles daban -daban, don haka yana iya zama da amfani don wartsakar da wasu ra'ayoyin da aka yi nazari a baya ko kuma koyan sabbin abubuwan da ba a sani ba.

Amfanin triangles

A cikin lissafi, ana nazarin ilimin lissafi, kuma yana shiga cikin adadi daban -daban na geometric kamar triangles. Wannan ilimin yana da amfani saboda dalilai da yawa; misali: don yin zane -zane na fasaha ko tsara wurin gini da gina shi.

A wannan ma'anar, kuma sabanin madaidaiciyar madaidaiciya wacce za a iya canza ta zuwa kwatankwacin lokacin da aka yi amfani da ƙarfi ga ɗayan ɓangarorinta, an daidaita bangarorin alwatika. Saboda tsaurin sifofinsa, masana kimiyyar lissafi sun nuna cewa alwatika na iya jure tsananin ƙarfi ba tare da nakasa ba. Saboda haka, masu gine -gine da injiniyoyi suna amfani da alwatika yayin gina gadoji, rufin gidaje, da sauran gine -gine. Lokacin da aka gina alwatika a cikin sifofi, juriya yana ƙaruwa ta hanyar rage motsi na gefe.

Menene triangle

Triangle shine polygon, adadi na lissafin geometric wanda ke da yanki amma babu girma. dukkan alwatika suna da bangarori uku, kusurwa uku da kusurwoyin ciki guda uku, kuma jimlar waɗannan shine 180º

Triangle ya ƙunshi:

A cikin waɗannan adadi, ɗaya daga cikin ɓangarorin wannan adadi koyaushe yana ƙasa da jimlar sauran ɓangarorin biyu, kuma a cikin alwatika mai daidaitattun ɓangarori, sabanin kusurwoyinsa ma daidai suke.

Yadda ake nemo kewaye da yanki na alwatika

Ma'auna biyu da muke sha'awar sanin game da alwatika su ne kewaye da yankin. Don ƙididdige na farko, ya zama dole a ƙara tsawon dukkan bangarorin ta:

P = a + b + c

Maimakon haka, don nemo yankin wannan adadi, ana amfani da wannan dabara:

A = ½ (bh)

Sabili da haka, yankin alwatika tushe ne (b) sau tsawo (h) ya kasu kashi biyu, kuma ana nuna ƙimar darajar wannan lissafin a murabba'in murabba'i.

Yadda ake rarrabe alwatika

Akwai nau'ikan triangles daban -daban, kuma su ana rarrabasu ta la'akari da tsawon bangarorin su da faɗin kusurwoyin su. La'akari da bangarorinta, akwai nau'ikan guda uku: daidaitawa, isosceles da sikeli. Dangane da kusurwoyin su, zamu iya rarrabe daidai, obtuse, m, da triangles equiangular.

Muna ci gaba da yi musu cikakken bayani a ƙasa.

Triangles bisa ga tsawon bangarorin su

Yin la'akari da tsawon bangarorin, alwatika na iya zama iri daban -daban.

1. Triangle mai daidaitawa

Triangle mai daidaituwa yana da bangarori uku na madaidaicin tsayi, yana mai da shi polygon na yau da kullun. Hakanan kusurwoyin da ke cikin triangle mai daidaitawa daidai suke (60º kowannensu). Yankin irin wannan alwatika shine tushen 3 zuwa 4 sau tsawon tsayin gefen murabba'i. Kewaye shine samfurin tsawon gefe ɗaya (l) da uku (P = 3 l)

2. Scalene triangle

Triangle mai sikeli yana da bangarori uku na tsawonsu daban -daban, kuma kusurwoyinsa ma suna da matakai daban -daban. Yankin yana daidai da jimlar tsawon ɓangarorinsa uku. Wato: P = a + b + c.

3. Isosceles triangle

Triangle na isosceles yana da ɓangarori biyu daidai da kusurwa biyu, kuma hanyar samun kewayarsa shine: P = 2 l + b.

Triangles bisa ga kusurwoyin su

Hakanan ana iya rarrabe alwatika gwargwadon girman kusurwoyin su.

4. Dama uku

An sifanta su da samun kusurwar dama ta ciki, tare da ƙimar 90º. Kafafu sune bangarorin da ke yin wannan kusurwar, yayin da hypotenuse yayi daidai da sabanin haka. Yankin wannan alwatika ya samo asali ne daga kafafunsa biyu. Wato: A = ½ (bc).

5. obtuse alwatika

Irin wannan alwatika tana da kusurwa mafi girma fiye da 90 ° amma ƙasa da 180 °, wanda ake kira "obtuse", da manyan kusurwoyi guda biyu, waɗanda ƙasa da 90 °.

6. Ƙananan alwatika

Irin wannan alwatika tana sifanta kusurwoyinta guda uku waɗanda ba su kai 90 ° ba

7. Triangle kusurwa

Ita ce madaidaicin alwatika, tunda kusurwoyin cikinta daidai suke da 60 °.

ƙarshe

Kusan dukkan mu mun yi nazarin ilimin lissafi a makaranta, kuma mun saba da alwatika. Amma tsawon shekaru, mutane da yawa na iya mantawa da menene halayen su da yadda aka rarrabasu. Kamar yadda kuka gani a cikin wannan labarin, ana rarrabe alwatika ta hanyoyi daban -daban dangane da tsawon bangarorin su da faɗin kusurwoyin su.

Geometry fanni ne da ake nazari a lissafi, amma ba duk yara ne ke jin daɗin wannan batun ba. A gaskiya, wasu suna da matsaloli masu tsanani. Menene musabbabin hakan? A cikin labarinmu "Matsalolin yara wajen koyon lissafi" mun bayyana muku.