Ukuthola i-perimeter ye-rhombus: ifomula nemisebenzi

Kule ncwadi, sizocabangela indlela yokubala i-perimeter ye-rhombus futhi sihlaziye izibonelo zokuxazulula izinkinga.

I-Perimeter Formula

1. Ngobude bohlangothi

I-perimeter (P) ye-rhombus ilingana nesamba sobude bazo zonke izinhlangothi zayo.

P = a + a + a + a

Ngenxa yokuthi zonke izinhlangothi zesibalo sejometri esinikeziwe ziyalingana, ifomula ingamelwa kanje (uhlangothi luphindwe ngo-4):

P = 4*a

2. Ngobude bama-diagonal

I-diagonal yanoma iyiphi i-rhombus ihlangana nge-engeli engu-90° futhi ihlukaniswa ngesigamu endaweni yokuhlangana, okungukuthi:

• AO=OC=d₁/2
• BO=KWE=d₂/2

I-diagonal ihlukanisa i-rhombus ibe ngunxantathu wesokudla abangu-4 abalinganayo: AOB, AOD, BOC kanye ne-DOC. Ake sihlolisise i-AOB.

Ungathola uhlangothi u-AB, okubili i-hypotenuse kanxande kanye nohlangothi lwe-rhombus, usebenzisa i-theorem ye-Pythagorean:

AB² = AO² + OB²

Sifaka kule fomula ubude bemilenze, obuvezwe ngokwengxenye ye-diagonals, futhi sithola:

AB² = (d₁/ 2² + (d₂/ 2², noma

Ngakho i-perimeter ithi:

Izibonelo zemisebenzi

Umsebenzi 1

Thola i-perimeter ye-rhombus uma ubude bayo obuhlangothini buyi-7 cm.

Isinqumo:

Sisebenzisa ifomula yokuqala, sishintsha inani elaziwayo kulo: P u4d 7 * 27 cm uXNUMXd XNUMX cm.

Umsebenzi 2

I-perimeter ye-rhombus ingama-44 cm. Thola uhlangothi lwesibalo.

Isinqumo:

Njengoba sazi, P = 4*a. Ngakho-ke, ukuthola uhlangothi olulodwa (a), udinga ukuhlukanisa umjikelezo ngezine: a = P / 4 = 44 cm / 4 = 11 cm.

Umsebenzi 3

Thola i-perimeter ye-rhombus uma ama-diagonals ayo aziwa: 6 no-8 cm.

Isinqumo:

Ukusebenzisa ifomula lapho ubude be-diagonal bubandakanyeka khona, sithola: