GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In triangle PQR shown, triangles RPY and RYQ have areas 90 and 45 resp
[#permalink]
02 Feb 2022, 08:15
02 Feb 2022, 08:15
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
85% (02:30) correct
14% (02:52) wrong based on 14 sessions
Hide Show timer Statistics
Attachment:
GRE In triangle PQR shown, triangles.jpg [ 12.12 KiB | Viewed 2338 times ]
In triangle PQR shown, triangles RPY and RYQ have areas 90 and 45 respectively. If PY = XQ = 10, what is the length of \(\overline{XY}\)?
Show: ::
5
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: In triangle PQR shown, triangles RPY and RYQ have areas 90 and 45 resp
[#permalink]
24 Feb 2022, 23:28
24 Feb 2022, 23:28
1
Carcass wrote:
Attachment:
GRE In triangle PQR shown, triangles.jpg
In triangle PQR shown, triangles RPY and RYQ have areas 90 and 45 respectively. If PY = XQ = 10, what is the length of \(\overline{XY}\)?
Show: ::
5
Let,
PX = a
XY = b
YQ = c, and
RQ = H
Area of triangles RPY = \(\frac{1}{2}(a+b)H = 90\)
Area of triangles RYQ = \(\frac{1}{2}(c)H = 45\)
Now, PY = XQ = 10
i.e. a + b = 10 = b + c
Area of triangles RPY = \(\frac{1}{2}(a+b)H = \frac{1}{2}(10)H = 90\)
\(H = 18\)
Area of triangles RYQ = \(\frac{1}{2}(c)H = \frac{1}{2}(c)(18) = 45\)
c = 5
Since, b + c = 10
b = 5 = XY
Re: In triangle PQR shown, triangles RPY and RYQ have areas 90 and 45 resp
[#permalink]
05 Oct 2024, 18:48
05 Oct 2024, 18:48
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
