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
43
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
Thesciencebehindsolar(太阳的)energyisnotnew.ButSheridanCommunitySchoolsisthefirstschooldistrictinIndianatobec
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Inthesecondpartofthepassage,theauthorsuggestsbannin
Oceanographyhasbeendefinedas"Theapplicationofallsciencestothestudyofthesea".Beforethenineteenthcentury,s
Whatdoestheauthormeanbysaying"theyknowbetternow?"Whichofthefollowingisthemostappropriatetitleforthepassag
You’dsoundalotmorepoliteifyoumakearequest______aquestion.
Staffhavebeenholdinganumberof______toraisemoneyforcharity.
Thereatthedoorstoodagirlaboutthesameheight______.
Evans:Ijustreceivedaletterfromoneofmyoldhighschoolbuddies.Danae:【D5】______Evans:Well,actuallyIhaven’t
Itwasacoldwinterday.AwomandroveuptotheRainbowBridgetollbooth(收费站)."I’mpayingformyself,andforthesixcarsb
随机试题
下列何者不是腋动脉的分支()
在盛唐诗坛上,田园山水诗派的代表诗人是()
不能经垂直感染的病毒是
诊断纵隔畸胎瘤特征性的CT征象是
A.6-磷酸葡萄糖脱氢酶B.苹果酸脱氢酶C.丙酮酸脱氢酶D.NADH脱氢酶E.葡萄糖-6-磷酸酶属于磷酸戊糖通路的酶是()。
因住房制度改革出售公有住房引起的划拨国有建设用地使用权变更时,申请人应提交的权属来源证明材料有()。
世界贸易组织的基本原则有______。
QDII基金的净值在估值后的()个工作日披露。
下列情形,纳税人必须自行向税务机关申报缴纳个人所得税的有()。(2013年)
A、Inaschoolzone.B、Inaresidentialdistrict.C、Inacommercialarea.D、Inthecountryside.CWheredothetwospeakersbegin
最新回复
(
0
)