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Giải bài 2 trang 93 vở thực hành Toán 8 tập 2

Những bộ ba số đo nào dưới đây là độ dài ba cạnh của một tam giác vuông

♓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

Những bộ ba số đo nào dưới đây là độ dài ba cạnh của một tam giác vuông a) 1cm, 1cm, 2cm. b) 2cm, 4cm, 20cm. c) 5cm, 4cm, 3cm. d) 2cm, 2cm, $2\sqrt{2}$cm.

Phương pháp giải - Xem chi tiết

Dựa vào định lí Pythagore đảo: Nếu tam giác có bình phương của một cạnh bằng tổng các bình phương của hai cạnh kia thì tam giác đó là tam giác vuông.

Lời giải chi tiết

Các bộ ba trong a và b đều không thỏa mãn bất đẳng thức tam giác (tổng độ dài hai cạnh lớn hơn độ dài cạnh còn lại) nên không thể là độ dài ba cạnh của một tam giác.Vì ${{5}^{2}}={{4}^{2}}+{{3}^{2}}$ và ${{\left( 2\sqrt{2} \right)}^{2}}={{2}^{2}}+{{2}^{2}}$ nên các bộ ba trong c và d là độ dài ba cạnh của một tam giác vuông (theo định lí Pythagore đảo).

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