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Giải câu hỏi khởi động trang 88 SGK Toán 7 tập 2 - Cánh diều

Có hai trạm quan sát A, B và một trạm quan sát C ở giữa hồ. Do không thể đo trực tiếp được khoảng cách từ A và từ B đến

𝓰Tổng 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

Có hai trạm quan sát A, B và một trạm quan sát C ở giữa hồ. Do không thể đo trực tiếp được khoảng cách từ A và từ B đến C nên người ta làm như sau (Hình 55):

-        Đo góc BAC được 60°, đo góc ABC được 45°;

-        Kẻ tia Ax sao cho \(\widehat {BAx} = 60^\circ \), kẻ tia By sao cho \(\widehat {ABy} = 45^\circ \), xác định giao điểm D của hai tia đó;

-        Đo khoảng cách AD và BD.

Tại sao lại có AC = AD và BC = BD?

Phương pháp giải - Xem chi tiết

Chứng minh tam giác ABC bằng tam giác ABD.

Lời giải chi tiết

Xét tam giác ABC và ABD có:

\(\widehat{ABC}=\widehat{ABD} (=45^0)\)

AB chung 

\(\widehat{BAC}=\widehat{BAD} (=60^0)\)

\(\Rightarrow \Delta ABC = \Delta ABD\).

Vậy AC = AD và BC = BD. (2 cạnh tương ứng)

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

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