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
48
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
RowanTorrezwillneverbeabletobearhislate(已故的)fathertellhimthatheloveshim,butyesterdayhe【C1】______receivedhisd
WhenIwasyoung,Ispentmysummervacationsonmygrandparents’farm.ThesummerthatIgraduatedfromcollege,I【C1】______my
Caraccidentskillmorethanonemillionpeopleandinjureapproximately50millioneachyear.【C1】______,millionsoffishcans
Thiskindofcomputeris________handlingallkindsofinformation.
Thatstudent______hishandeverytimeIaskedaquestion.
Astudyofarthistorymightbeagoodwaytolearnmoreaboutaculturethanispossibletolearningeneralhistoryclasses.M
Thevitaminsnecessaryforahealthybodyarenormallysuppliedbyagoodmixeddiet(饮食),includingavarietyoffruitsandgre
Itwasacoldwinterday.AwomandroveuptotheRainbowBridgetollbooth(收费站)."I’mpayingformyself,andforthesixcarsb
Thefollowingdatasufficiencyproblemsconsistofaquestionandtwostatements,labeled(1)and(2),inwhichcertaindataare
Inacertaingame,eachplayerscoreseither2pointsor5points.Ifnplayersscore2pointsandmplayersscore5points,and
随机试题
TCL是集通信、电子、地产、贸易等多种业务于一体,以通信和电子为主的大型企业集团。2001年,TCL以629万台“王牌”彩电的销量登上了心仪已久的国产彩电业老大的位置,并后来居上意外战胜波导获得国产手机销量第一的霸主地位,实现销售额211亿元,利润7.1亿
Thispartistotestyouabilitytodopracticalwriting.Youarerequiredtowriteanote.Youcanrefertothefollowinginfor
Theaimofaletterofapplication(求职信)istohelpyouto"sell"yourself.Itshouldstate【21】thejobyouwant,andshouldtell
女,32岁,汽车撞伤致左肩部外侧着地,感擅伤处疼痛,活动上臂时疼痛加重,局部肿胀、压痛,上臂外展<70°,左Dugas征检查(-)。余左上肢查体未见明显异常。左肩X线检查示左肱骨大结节骨折,可考虑的治疗方法是
归属于五行中"水"的五官是
当采用应力控制方法张拉时,应校核预应力筋的伸长值,实际伸长值比设计理论伸长值的相对允许偏差为()。
归档用的软盘用后应及时贴好写保护标签。()
甲公司是一家国有控股上市公司,采用经济增加值作为业绩评价指标,目前,控股股东正对甲公司2014年度的经营业绩进行评价,相关资料如下。(1)甲公司2013年年末和2014年年末资产负债表如下:(2)甲公司2014年度利润相关资料如下:(3)甲公司2
HowdidtheinterviewerdescribeDeputySheriffJenniferFulford-Salvano?
PASSAGEONE
最新回复
(
0
)