Te rapu i te waahi o te rhombus: tauira me nga tauira

Rhombuses he ahua āhuahanga; whakarara e 4 nga taha rite.

tātai rohe

Te roa me te teitei o te taha

Ko te horahanga o te rhombus (S) he rite ki te hua o te roa o tona taha me te teitei kua toia ki runga:

S = a ⋅ h

Ma te taha roa me te koki

Ko te horahanga o te rhombus he rite ki te hua o te tapawha o te roa o tona taha me te sine o te koki i waenganui i nga taha:

S = a ² ⋅ kore α

Ma te roa o nga hauroki

Ko te horahanga o te rhombus he haurua o te hua o ona hauroki.

S = ¹/₂ ⋅ d₁ ⋅ d₂

He tauira mahi

Tūmahi 1

Kimihia te horahanga o te rhombus mena he 10 cm te roa o tona taha me te 8 cm te teitei ka tohia ki runga.

Te whakatau:

Ka whakamahia e matou te tauira tuatahi i korerohia i runga ake nei: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm².

Tūmahi 2

Kimihia te horahanga o te rhombus he 6 cm tona taha, he 30° te koki whakapeka.

Te whakatau:

Ka whakamahia te tauira tuarua, e whakamahi ana i nga rahinga e mohiotia ana e nga tikanga o te whakatakotoranga: S = (6 cm)² ⋅ hara 30° = 36 cm² ⋅ 1/2 = 18 cm².

Tūmahi 3

Kimihia te horahanga o te rhombus mena he 4 me te 8 cm ona hauroki.

Te whakatau:

Me whakamahi te tauira tuatoru, e whakamahi ana i nga roa o nga hauroki: S = 1/2 ⋅ 4 cm ⋅ 8 cm = 16 cm².