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Giải bài 2 trang 90 vở thực hành Toán 8 tập 2

Cho ΔABC ∽ ΔA'B'C'. Biết AB = 3cm, A′B′ = 6cm và tam giác ABC có chu vi bằng 10 cm. Hãy tính chu vi tam giác A'B'C'.

💛Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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

🏅Cho ΔABC ∽ ΔA'B'C'. Biết AB = 3cm, A′B′ = 6cm và tam giác ABC có chu vi bằng 10 cm. Hãy tính chu vi tam giác A'B'C'.

Phương pháp giải - Xem chi tiết

Từ ΔABC ∽ ΔA'B'C' tính được tỉ số đồng dạng.

Suy ra chu vi tam giác A’B’C’.

Lời giải chi tiết

Từ ΔABC ∽ ΔA'B'C' suy ra:

$\frac{3}{6}=\frac{AB}{A'B'}=\frac{AC}{A'C'}=\frac{BC}{B'C'}=\frac{AB+AC+BC}{A'B'+A'C'+B'C'}$Suy ra A’B’ + A’C’ + B’C’ = 2(AB + AC + BC) = 20 (cm).Vậy chu vi tam giác A’B’C’ là 20cm.

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