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Giải bài 2 (4.17) trang 67 vở thực hành Toán 7

Bài 2 (4.17). Cho hai tam giác ABC và DEF thỏa mãn AB = DE, \(\widehat E = \widehat B = {70^o},\widehat A = \widehat D = {60^o}\), AC = 6cm. Hãy tính DF.

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Đề bài

Bài𝔍 2 (4.17). Cho hai tam giác ABC và DEF thỏa mãn AB = DE, \(\widehat E = \widehat B = {70^o},\widehat A = \widehat D = {60^o}\), AC = 6cm. Hãy tính DF.

Phương pháp giải - Xem chi tiết

Chỉ ra \(\Delta ABC = \Delta DEF\)

Lời giải chi tiết

 
GT \(\Delta ABC,\Delta DEF,AB = DE\) \(\widehat E = \widehat B = {70^o},\widehat A = \widehat D = {60^o}\), AC = 6cm
KL Tính DF.
Từ giả thiết ta suy ra \(\Delta ABC = \Delta DEF\) (g.c.g) vì AB = DE, \(\widehat E = \widehat B = {70^o},\widehat A = \widehat D = {60^o}\)theo giả thiết).Do các cạnh tương ứng của hai tam giác bằng nhau là bằng nhau nên ta có:DF = AC = 6cm.

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