Giải mục 2 trang 61,62 SGK Toán 7 tập 2 - Kết nối tri thức
Quan sát tam giác ABC trong Hình 9.4
HĐ 3
Quan sát tam giác ABC trong Hình 9.4
Em hãy dự đoán xem giữa hai cạnh đối diện với hai góc B và C ( tức là cạnh AC và AB) thì cạnh nào lớn hơn.
Phương pháp giải:
Quan sát, so sánh các cạnh
Lời giải chi tiết:
Em dự đoán cạnh đối diện với góc B lớn hơn cạnh đối diện với góc C.
HĐ 4
Em hãy so sánh độ dài hai cạnh AC và AB để kiểm tra lại dự đoán của mình trong HĐ3
Phương pháp giải:
Đo độ dài các cạnh rồi so sánh.
Lời giải chi tiết:
Đo độ dài các cạnh, ta được:
AB = 3 cm
AC = 5 cm
Do đó cạnh AC lớn hơn cạnh AB
Vậy dự đoán của em ở HĐ3 là đúng.
Luyện tập 2
Cho tam giác MNP có \(\widehat M = 47^\circ ;\widehat N = 53^\circ \). Hãy viết các cạnh của tam giác đó theo thứ tự độ dài từ bé đến lớn.
Phương pháp giải:
+ Áp dụng định lí tổng ba góc trong tam giác, tính góc còn lại của tam giác
+ Sử dụng định lí: Trong một tam giác, cạnh đối diện với góc lớn hơn là cạnh lớn hơn
Lời giải chi tiết:
Áp dụng định lí tổng ba góc trong một tam giác trong tam giác MNP, có:
\(\begin{array}{l}\widehat M + \widehat N + \widehat P = 180^\circ \\ \Rightarrow 47^\circ + 53^\circ + \widehat P = 180^\circ \\ \Rightarrow \widehat P = 180^\circ - 47^\circ - 53^\circ = 80^\circ \\ \Rightarrow \widehat M < \widehat N < \widehat P(47^\circ < 53^\circ < 80^\circ )\end{array}\)
\( \Rightarrow \) NP < MP < MN ( cạnh đối diện với góc lớn hơn thì lớn hơn)
Vậy các cạnh của tam giác đó theo thứ tự độ dài từ bé đến lớn là NP, MP, MN.
Tranh luận
Cho tam giác ABC có góc A là góc tù.
Theo em bạn nào nói đúng? Vì sao?
Phương pháp giải:
+ Góc tù là góc lớn nhất trong tam giác
+ Sử dụng định lí: Trong một tam giác, cạnh đối diện với góc lớn hơn là cạnh lớn hơn
Lời giải chi tiết:
Vì tam giác ABC có góc A là góc tù nên góc A là góc lớn nhất trong tam giác ABC.
\( \Rightarrow \) Cạnh đối diện với góc A là cạnh lớn nhất trong tam giác ABC.
Mà cạnh BC là cạnh đối diện với góc A
Vậy cạnh BC là cạnh lớn nhất trong tam giác ABC. Do đó bạn Tròn nói đúng.
Vận dụng
Trong trận bóng đá, trái bóng đang ở vị trí D, ba cầu thủ đứng thẳng hàng tại vị trí A, B, C trên sân với số áo lần lượt là 4, 2, 3 như Hình 9.1. Theo em cầu thủ nào gần trái bóng nhất, cầu thủ nào xa trái bóng nhất? Tại sao?
( Biết rằng góc ACD là góc tù)
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