NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 13:50 It is currently 26 Apr 2024, 13:50
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619230 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   05 Nov 2017, 02:06
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

94% (00:36) correct 6% (00:58) wrong based on 81 sessions
Hide Show timer Statistics
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°
ShowHide Answer
Official Answer
A
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5206 [0]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   05 Nov 2017, 02:17
Bunuel wrote:
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°


If the angles of the triangle are in the ratio 1:2:2,
and the sum of the angles in a triangle are 180, the three angles are 36,72,72 degree respectively.

Therefore, the triangle formed is isosceles because the sides opposite to equal angles are equal(Option A)
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35497 [0]
Given Kudos: 9464
Send PM
CAT Tests
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   05 Nov 2017, 13:20
Expert Reply
Bunuel wrote:
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°

Angle ratio is 1 : 2 : 2 -->
x : 2x : 2x
Ratio parts' total = 5x

5x = 180 (degrees in a triangle)
x = 36

The three angle measures are
x = 36°
2x = (2)(36) = 72°, and
2x = (3)(36) = 72°

Sides opposite equal angles are equal. There are two equal sides opposite the 72° angles.
It is an isosceles triangle.

Answer A
User avatar
P
varun4s
Senior Manager
Senior Manager
Joined: 07 Jul 2012
Posts: 281
Own Kudos [?]: 324 [0]
Given Kudos: 71
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Send PM
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   05 Nov 2017, 19:28
Let the angles of triangle are x, 2x, 2x
x+2x+2x=180 (Sum of angles of triangle is \(180^{\circ}\))
5x= 180
x=\(\frac{180}{5}\)= \(36^{\circ}\)

other angles are 36*2= \(72^{\circ}\)

Sides opposite equal angles are equal. Thus, it is an isosceles triangle.

Answer: A.
User avatar
B
Adityagmatclub
Manager
Manager
Joined: 22 May 2017
Posts: 76
Own Kudos [?]: 16 [0]
Given Kudos: 223
Send PM
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   06 Nov 2017, 10:43
Bunuel wrote:
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°



WITH THE RATIO, WE CAN DECIPHER THAT TWO ANGLES ARE EQUAL. SO THE TRIANGLE IS ISOSCELES TRAIANGLE.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6277 [0]
Given Kudos: 1646
Send PM
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   12 Nov 2017, 08:34
Expert Reply
Bunuel wrote:
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°


We can create the ratio:

x + 2x + 2x = 180

5x = 180

x = 36

Thus, our angles are 36, 72, and 72, so we have an isosceles triangle.

Answer: A
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink] New post   12 Nov 2017, 08:46
Bunuel wrote:
If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle

(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°


An isosceles triangle is a triangle that has two sides of equal length and 2 equal angles, answer must be (A)
GMAT Club Bot
gmatclubot
Re: If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle [#permalink]
12 Nov 2017, 08:46
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions