GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 07 Aug 2020, 09:59

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A rectangle is inscribed in a circle of radius r. If the rectangle is

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 27 Oct 2017
Posts: 1879
WE: General Management (Education)
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

17 May 2018, 19:57
It is one of the probable cases.

See my solution in earlier post, I have explained without using 30:60:90 triangle.

gmatbusters wrote:
Is this always the case? That the right triangles within a rectangle are always 30-60-90?

See the figure
Attachment:
IMG_20180518_083441.jpg

Is this always the case? That the right triangles within a rectangle are always 30-60-90?

Got it. Why is it 30-60-90 in this case? (other than looking at the answers)?[/quote]

Posted from my mobile device
_________________
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10797
Location: Pune, India
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

17 May 2018, 22:33
gmatbusters wrote:
Is this always the case? That the right triangles within a rectangle are always 30-60-90?

See the figure
Attachment:
IMG_20180518_083441.jpg

Is this always the case? That the right triangles within a rectangle are always 30-60-90?

Got it. Why is it 30-60-90 in this case? (other than looking at the answers)?[/quote]

The angles can take many values. Look at the question: which of the following could be the perimeter ...

The reason we think of 30-60-90 triangle is that we know sides of only 45-45-90 and 30-60-90 triangles. GMAT will not ask us to find the sides of 10-80-90 triangle. Since it is not a square, we should try out the 30-60-90 triangle.
_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 19 Feb 2014
Posts: 39
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

14 Jun 2019, 20:10
Can someone please explain why you can multiply or divide each item in an equation (i.e. a+b=c -----> a/2 + b/2 = c/2) but you cannot square root each item in an equation (i.e. a^2 + b^2 = c^2 ---/--> a+b=c)?
Intern
Joined: 19 Feb 2014
Posts: 39
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

19 Jun 2019, 05:36
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10797
Location: Pune, India
A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

20 Jun 2019, 04:06
1
crazi4ib wrote:

The operation of squaring is not the same as that of multiplication/division.

Given: a + b = c

Squaring both sides, you get,

$$(a + b)^2 = c^2$$

$$a^2 + b^2 + 2ab = c^2$$

Take an example, $$3^2 = 9$$, $$4^2 = 16$$.
The sum of these two is 9 + 16 = 25. It is not the same as $$(3 + 4)^2 = 7^2 = 49$$.
_________________
Karishma
Veritas Prep GMAT Instructor

Non-Human User
Joined: 09 Sep 2013
Posts: 15640
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is  [#permalink]

### Show Tags

21 Jun 2020, 13:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Re: A rectangle is inscribed in a circle of radius r. If the rectangle is   [#permalink] 21 Jun 2020, 13:21

Go to page   Previous    1   2   3   [ 46 posts ]