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Giải Bài 4 trang 52 sách bài tập toán 7 - Chân trời sáng tạo

Cho tam giác MNP có \(\widehat M = {120^o},\widehat N = {30^o}\)

🙈Tổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Chân trời sáng tạo

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Đề bài

Cho tam giác MNP có \(\widehat M = {120^o},\widehat N = {30^o}\) a) Tìm cạnh lớn nhất của tam giác MNP. b) Tam giác MNP là tam giác gì? Vì sao?

Phương pháp giải - Xem chi tiết

- Tìm góc lớn nhất trong tam giác để suy ra cạnh lớn nhất của tam giác MNP. - Chứng minh \(\widehat P = \widehat N\) để suy ra tam giác MNP là tam giác cân tại M.

Lời giải chi tiết

a) Trong tam giác MNP có góc M là góc lơn nhất nên cạnh đối diện NP là cạnh lớn nhất của tam giác MNP.b) Ta có: \(\widehat M + \widehat N + \widehat P = {180^o}\) suy ra \(\widehat P = {180^o} - \widehat M - \widehat N = {180^o} - {120^o} - {30^o} = {30^o}\) nên \(\widehat P = \widehat N\) suy ra tam giác MNP cân tại M.

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Tham Gia Group Dành Cho Lớp 7 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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