Given a right prism ABC.A’B’C’ that AB = 9 cm; AC = 12 cm; BC = 15 cm
There are ……. lines are perpendicular to the line AB.
Given a right prism ABC.A’B’C’ that AB = 9 cm; AC = 12 cm; BC = 15 cm
There are ……. lines are perpendicular to the line AB.
Đáp án: There are 5 lines are perpendicular to the line AB.
Giải thích:
Theo đề bài ta thấy: `AB²+AC²=BC²⇒AB⊥AC`(định lý Py-ta-go đảo)
`⇒ AB⊥A’C’`
Ta có: `ABC.A’B’C’` là lăng trụ đứng nên `AB⊥BB’`,AA’,CC’
Vậy AB vuông góc với 5 đường thẳng
@Holliwood#:
Answer:
There are 5 lines that are perpendicular to the line AB
Explain the solution steps:
According to the article we see:
AB² + AC² = BC²
⇔ AB ⊥ AC ( the theorem py – ta – go inverse )
⇒ AB ⊥ A’C’
We have: ABC.A’B’C ‘(vertical square prism)
⇒ AB ⊥ BB’; AA’; CC’
So AB is perpendicular to the 5 segments
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