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Giải Bài 21 trang 72 sách bài tập toán 7 - Cánh diều

Bạn Sơn cho rằng “Nếu độ dài các cạnh của tam giác ABC đều là số tự nhiên và ∆ABC = ∆MNP thì tổng chu vi của tam giác ABC và tam giác MNP là số lẻ”. Bạn Sơn nói như vậy có đúng không? Vì sao?

🐈Tổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Cánh diều

Toán - Văn - Anh - Khoa học tự nhiên...
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Đề bài

Bạn Sơn cho rằng “Nếu độ dài các cạnh của tam giác ABC đều là số tự nhiên và

∆ABC = ∆MNP thì tổng chu vi của tam giác ABC và tam giác MNP là số lẻ”. Bạn Sơn nói như vậy có đúng không? Vì sao?

Phương pháp giải - Xem chi tiết

- Sử dụng 2 tam giác bằng nhau thì chu vi của hai tam giác bằng nhau. - Tính tổng chu vi của hai tam giác. - Kết luận: bạn Sơn nói đúng hay sai.

Lời giải chi tiết

🥃Vì ∆ABC = ∆MNP nên AB = MN, BC = NP, AC = MP (các cặp cạnh tương ứng).

Suy ra AB + BC + AC = MN + NP + MP.

𒁏Hay chu vi của tam giác MNP bằng chu vi của tam giác ABC.

🔴Do độ dài các cạnh của tam giác ABC đều là số tự nhiên nên chu vi của tam giác ABC cũng là số tự nhiên.

🍷Gọi chu vi của tam giác ABC là x (x là số tự nhiên).

Khi đó, chu vi của tam giác MNP là x.

🗹Do đó, tổng chu vi của tam giác ABC và tam giác MNP là:

x + x = 2x (là số chẵn).

Vậy bạn Sơn nói không đúng.

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