首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid
admin
2014-08-12
25
问题
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?
Indicate
all
such lengths.
选项
A、3
B、5
C、8
D、15
答案
B,C
解析
A good way to approach this problem is to think about how much the length of the third side of a triangle with two fixed side lengths can vary. If you think about it a bit, you will see that the smaller the interior angle between the two sides of the triangle is, the smaller the length of the third side is; and the larger the interior angle between the two sides of the triangle is, the larger the length of the third side is. This suggests drawing two triangles, one in which the angle between the two sides is close to 0 degrees and one in which the angle between the two sides is close to 180 degrees, like the triangles below.
In the triangle in which the angle between the sides of length 5 and 9 is small, you can see that the length of the third side is a bit greater than 9 - 5, or 4. If it were equal to 4, the triangle would degenerate into a line segment.
In the triangle in which the angle between the sides of length 5 and 9 is large, you can see that the length of the third side is a bit less than 9 + 5, or 14. If it were equal to 14, the triangle would degenerate into a line segment.
Therefore, the length of the third side of the triangle must be greater than 4 and less than 14. Furthermore, it is intuitive that any length between these two numbers can be achieved by some triangle. The correct answer consists of Choices B and C.
转载请注明原文地址:https://jikaoti.com/ti/WldYFFFM
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
Canonlineeducationeverbeeducationoftheverybestsort?NotlongagoIwatchedanonlinecourse.Theinstructorwasintell
Conversationbeginsalmostthemomentwecomeintocontactwithanotherandcontinuesthroughouttheday【B1】______theaidof
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
Whatdoestheauthormeanbysaying"theyknowbetternow?"Whichofthefollowingstatementsistrueaccordingtothepassage?
Theunderlinedword"average"inParagraph1means______.Wecaninferfromthepassagethatthosewhodonotwork______.
Whatisthemostimportantfunctionoftrees?Whatisthepassagemainlyconcernedwithy
Wekeptourdistancefromthehunterandhisgame______disturbthehunt.
Bigdatacanbedefinedasinformationthatistoobigorcomplextobecontainedorprocessedbyanyonemachineorperson.
Itwas3am,acoldandwetnight,onAugust21,2010.IhadjustleftalocalclubtotraveltenkilometershomewhenIlost【C1
Theflattriangularlotdepictedaboveisavailablefordevelopment.If150meters,whatistheareaofthelotinsquaremeter
随机试题
简述大额可转让定期存单市场的功能。
最易伤肺的邪气是
患者男性,40岁,肛旁反复破溃流脓水近1年,查体见肛旁截石位10点距肛缘6厘米有一破溃口,诊断为肛瘘。其内口最可能的部位是
马钱子苦泄性温,毒大力强,为拔毒消肿敛疮常用药,其不能主治的病证是
在下图所示单代号网络计划中,关键路径有( )条。
在法律上我们通常把亲属关系分为()。
按照我国法律的规定,外观设计专利有效期限为()年。
“应收账款”科目明细账中若有贷方余额,应将其记入资产负债表中的()项目。
某企业产品单位售价为8元,其成本y是销售额x的函数,即该企业总成本为:y=40000+0.6x。要求:为实现目标净利润15000元,应实现的销售额为多少?(所得税税率为25%
导游人员在接受散客接待任务后,应详细阅读接待计划,明确()。
最新回复
(
0
)