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歡迎您訪問每日一練:等腰三角形兩邊的長分別為2cm和5cm,則這個三角!

每日一練:等腰三角形兩邊的長分別為2cm和5cm,則這個三角

更新時間:2024-01-12 12:52:52作者:貝語網校

等腰三角形兩邊的長分別為2cm和5cm,則這個三角形的周長是

A.9cm

B.12cm

C.9cm或12cm

D.在9cm或12cm之間

試題答案

B

試題解析

題目給出等腰三角形有兩條邊長為2cm和5cm,而沒有明確腰、底分別是多少,所以要進行討論,還要應用三角形的三邊關系驗證能否組成三角形.

解答:當腰長是2cm時,因為2+2<5,不符合三角形的三邊關系,應排除;

當腰長是5cm時,因為5+5>2,符合三角形三邊關系,此時周長是12cm.

故選B.

點評:本題考查了等腰三角形的性質和三角形的三邊關系;已知沒有明確腰和底邊的題目一定要想到兩種情況,分類進行討論,還應驗證各種情況是否能構成三角形進行解答,這點非常重要,也是解題的關鍵.

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