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
BIn this question, you are asked to compare the area of triangle PQR with the area of triangle PSR. Note that both triangles are
BIn this question, you are asked to compare the area of triangle PQR with the area of triangle PSR. Note that both triangles are
admin
2014-08-13
54
问题
选项
答案
B
解析
In this question, you are asked to compare the area of triangle PQR with the area of triangle PSR. Note that both triangles are right triangles and that line segment PR is the hypotenuse of both triangles. Recall that the area of a triangle is equal to one-half the product of a base and the height corresponding to the base. Also, for any right triangle, the lengths of the two legs of the triangle are a base and the corresponding height.
The area of triangle PQR: In the figure, it is given that the length of leg PQ is
and the length of leg QR is
. Therefore, you can conclude that the area of triangle PQR is
, or 5.
The area of triangle PSR: To calculate the area of triangle PSR, you need to know the lengths of the legs PS and RS. From the figure, you know that the length of RS is 3, but you do not know the length of PS. How can you determine the length of PS ? If, in addition to the length of RS, you knew the length of hypotenuse PR, you could use the Pythagorean theorem to determine the length of PS. So, to find the length of PS, you first need to find the length of hypotenuse PR.
Recall that PR is also the hypotenuse of triangle PQR. The lengths of legs PQ and QR of triangle PQR are
and
, respectively. By the Pythagorean theorem,
Thus, the length of PR is
, or 5.
Returning to triangle PSR, you now know that the length of hypotenuse PR is 5 and the length of leg RS is 3. Therefore, by the Pythagorean theorem,
3
2
+(PS)
2
= 5
2
9 +(PS)
2
= 25
(PS)
2
= 25-9
(RS)
2
= 16
and the length of PS is 4.
Since legs PS and RS have lengths 4 and 3, respectively, the area of triangle PSR is
(4)(3), or 6. Recall that you have already determined that the area of triangle PQR is 5. So Quantity B, the area of triangle PSR, is greater than Quantity A, the area of triangle PQR, and the correct answer is Choice B.
转载请注明原文地址:https://kaotiyun.com/show/v5kO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
Greenseaturtles(海龟)aretheworld’slargestspeciesofhard-shelledseaturtle.Whilemostindividualsweighabout136to181
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
(77)Muchunfriendlyfeelingtowardscomputershasbeenbasedonthefearofwidespreadunemploymentresultingfromtheirintrodu
Oceanographyhasbeendefinedas"Theapplicationofallsciencestothestudyofthesea".Beforethenineteenthcentury,s
Whatyou’realwaysheard?We’reeatingtoomuchsalt.TheaverageAmericangetsabout3.4gramsofsodiumeveryday,farmoreth
Itwasacoldwinterday.AwomandroveuptotheRainbowBridgetollbooth(收费站)."I’mpayingformyself,andforthesixcarsb
Ifxdollarsareinvestedat12percentforoneyearandydollarsareinvestedat8percentforoneyear,theannualincomefro
Whatistheperimeterofasquarewitharea?
Theequationrelatesthevaluesoftwolinkedcurrencies,whereRisthevalueindollarsofonecurrencyandSisthevaluein
Agroupof7fishermencharteredaboatforadaytofishforflounder.Theboatcostsxdollarsperdaytorent.Ifthegroupc
随机试题
股骨颈骨折临床表现不明显的是
在进行企业内部环境分析时,从哪几方面来进行绢织能力分析?
奶牛配种40d时诊断已怀孕,现又有发情症状,直肠检查原有的妊娠现象消失,则该病为
对于慢性闭锁性牙髓炎,医生应注意的是
患者,男性,50岁,因深楔状缺损,致左侧上颌尖牙牙冠折断。现已行完善根充及桩核修复,即将开始用冠修复尖牙外形。临床检查发现,尖牙在牙弓中的位置及咬合关系基本正常。对侧尖牙外形正常,在形成冠外形时。下列说法哪一个是正确的
下列对伊斯兰建筑特点的描述,错误的是()。
中国人民银行根据执行货币政策和金融稳定的需要,建议国务院银行业监督管理机构对某银行进行检查监督。这是中国人民银行在()。
correspondence
有如下程序:#include<iostream>usingnamespacestd;intmain(){inta[6]={23,15,64,33,40,58};ints1,s2;s
A、Gettheresultsofthesurveyback.B、Drawtheresultsofthesurvey.C、Makesomeconclusions.D、CollectmoreinformationC
最新回复
(
0
)