Contents
A cikin wannan labarin, za mu yi la'akari da ma'anar da kaddarorin matsakaici na triangle dama da aka zana zuwa hypotenuse. Za mu kuma bincika misali na warware matsala don ƙarfafa ƙa'idar.
Ƙayyade matsakaicin matsakaicin triangle dama
Median shine sashin layi wanda ke haɗa ƙarshen triangle zuwa tsakiyar kishiyar gefe.
Dama triangle triangle ne wanda daya daga cikin kusurwoyi daidai yake (90°) sauran biyun kuma suna da girma (<90°).
Abubuwan da ke tsaka-tsaki na triangle dama
Kadarori 1
Matsakaici (AD) a cikin madaidaicin alwatika wanda aka zana daga gefen kusurwar dama (∠LACzuwa hypotenuse (BC) shine rabin hypotenuse.
- BC = 2 AD
- AD = BD = DC
Sakamakon: Idan tsaka-tsakin yana daidai da rabin gefen da aka zana shi, to wannan gefen shine hypotenuse, kuma triangle yana da kusurwa-dama.
Kadarori 2
Matsakaicin da aka zana zuwa hypotenuse na triangle dama yana daidai da rabin tushen murabba'in jimillar murabba'in ƙafafu.
Don triangle ɗin mu (duba hoton da ke sama):
Yana biye daga kuma Kayayyaki 1.
Kadarori 3
Matsakaicin da aka faɗi akan hypotenuse na triangle dama daidai yake da radius na da'irar da aka yi wa kewayen triangle.
Wadancan. BO shi ne duka na tsakiya da kuma radius.
lura: Hakanan ana amfani da triangle dama, ba tare da la'akari da nau'in triangle ba.
Misalin matsala
Tsawon tsaka-tsakin da aka zana a cikin hypotenuse na triangle dama shine 10 cm. Kuma daya daga cikin kafafu yana da 12 cm. Nemo kewayen triangle.
Magani
The hypotenuse na triangle, kamar haka daga Kayayyaki 1, sau biyu tsakani. Wadancan. daidai: 10 cm ⋅ 2 = 20 cm.
Yin amfani da ka'idar Pythagorean, mun sami tsayin kafa na biyu (muna ɗaukar shi azaman "B", Shahararriyar kafa - don "zuwa", hypotenuse - don "Tare da"):
b2 =c2 - kuma2 = 202 - 122 = 256.
A sakamakon haka, b = 16cm.
Yanzu mun san tsawon kowane bangare kuma zamu iya lissafin kewayen adadi:
P△ = 12 cm + 16 cm + 20 cm = 48 cm.