Njirimara ịdị elu nke triangle ziri ezi

N'akwụkwọ a, anyị ga-atụle isi ihe dị elu nke ịdị elu na triangle ziri ezi, ma nyochaa ihe atụ nke idozi nsogbu na isiokwu a.

Cheta na: a na-akpọ triangle akụkụ anọ, ma ọ bụrụ na otu n'ime akụkụ ya ziri ezi (ha nhata 90 °) na abụọ ndị ọzọ bụ nnukwu (<90°).

Njirimara ịdị elu na triangle ziri ezi

Ngwongwo 1

Triangle ziri ezi nwere elu abụọ (h₁ и h₂) dakọtara na ụkwụ ya.

elu nke atọ (h₃) na-agbada na hypotenuse site n'akụkụ aka nri.

Ngwongwo 2

The orthocenter (ebe njikọ nke elu) nke triangle ziri ezi dị na vertex nke akụkụ aka nri.

Ngwongwo 3

Ogo dị na triangle ziri ezi nke dọtara na hypotenuse na-ekewa ya n'ime triangles ziri ezi abụọ yiri ya, nke dịkwa ka nke mbụ.

1. △Abd ~ △ABC n'akụkụ abụọ hà nhata: ∠ADB = ∠LAC (ahịrị kwụ ọtọ), ∠Abd = ∠ABC

2. △ADC ~ △ABC n'akụkụ abụọ hà nhata: ∠ADC = ∠LAC (ahịrị kwụ ọtọ), ∠CDA = ∠ACB.

3. △Abd ~ △ADC n'akụkụ abụọ hà nhata: ∠Abd = ∠DAC, ∠ỌJỌỌ = ∠CDA.

Akaebe: ∠ỌJỌỌ = 90° – ∠ABD (ABC). N'otu oge ahụ ∠ACD (ACB) = 90° – ∠ABC.

Ya mere, ∠ỌJỌỌ = ∠CDA.

Enwere ike igosi ya n'ụzọ yiri nke ahụ ∠Abd = ∠DAC.

Ngwongwo 4

N'ime triangle ziri ezi, a na-agbakọ ịdị elu a dọtara na hypotenuse dị ka ndị a:

1. Site na akụkụ na hypotenuse, kpụrụ n'ihi nkewa ya site na isi nke elu:

2. Site n'ogologo nke akụkụ nke triangle:

E sitere na usoro a Njirimara nke sine nke nnukwu akụkụ na triangle aka nri (mịrị akụkụ nke akụkụ ahụ hà nhata nke ụkwụ nke ọzọ na hypotenuse):

Cheta na: na triangle ziri ezi, njirimara ịdị elu izugbe ewepụtara n'akwụkwọ anyị - tinyekwa ya.

Ọmụmaatụ nke nsogbu

Ọrụ 1

A na-ekewa hypotenuse nke triangle ziri ezi site na ịdị elu dọtara ya na akụkụ 5 na 13 cm. Chọta ogologo nke elu a.

ngwọta

Ka anyị jiri usoro izizi ewepụtara na ya Ngwongwo 4:

Ọrụ 2

Ụkwụ nke triangle ziri ezi bụ 9 na 12 cm. Chọta ogologo nke elu a dọtara na hypotenuse.

ngwọta

Nke mbụ, ka anyị chọpụta ogologo nke hypotenuse (ka ụkwụ nke triangle dị "iji" и "B", na hypotenuse bụ "vs"):

c² =A² + b² = 9² + 12² = 225.

N'ihi ya, с = 15 sentimita.

Ugbu a, anyị nwere ike itinye usoro nke abụọ site na Ngwongwo 4a tụlere n'elu: