 It is currently 24 Nov 2020, 22:00 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If the degree measures of the angles of a triangle are in th  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160 Followers: 313

Kudos [?]: 3676 , given: 12912

If the degree measures of the angles of a triangle are in th [#permalink]
Expert's post 00:00

Question Stats: 76% (00:27) correct 23% (00:28) wrong based on 34 sessions
If the degree measures of the angles of a triangle are in the ratio 3 : 4 : 5, what is the degree measure of the smallest angle?

(A) 15°

(B) 30°

(C) 45°

(D) 60°

(E) 75°
[Reveal] Spoiler: OA

_________________ VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1340  , given: 251

Re: If the degree measures of the angles of a triangle are in th [#permalink]
1
KUDOS
Carcass wrote:
If the degree measures of the angles of a triangle are in the ratio 3 : 4 : 5, what is the degree measure of the smallest angle?

(A) 15°

(B) 30°

(C) 45°

(D) 60°

(E) 75°

Here the following side represent as 90°-45°-45° right angled triangle

=(3, 4, 5) (5, 12, 13) (7, 24, 25) (8, 15, 17) etc

So the smallest angle = 45°

Next method,

Let the x= smallest angle,

we can also re write as: 3x + 4x + 5x = 180
or 12x = 180
or x= 15

Therefore the smallest angle = 3x = 3*15 = 45°
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Intern Joined: 15 May 2020
Posts: 12
Followers: 0

Kudos [?]: 8  , given: 19

Re: If the degree measures of the angles of a triangle are in th [#permalink]
1
KUDOS
pranab223 wrote:
Carcass wrote:
If the degree measures of the angles of a triangle are in the ratio 3 : 4 : 5, what is the degree measure of the smallest angle?

(A) 15°

(B) 30°

(C) 45°

(D) 60°

(E) 75°

Here the following side represent as 90°-45°-45° right angled triangle

=(3, 4, 5) (5, 12, 13) (7, 24, 25) (8, 15, 17) etc

So the smallest angle = 45°

Next method,

Let the x= smallest angle,

we can also re write as: 3x + 4x + 5x = 180
or 12x = 180
or x= 15

Therefore the smallest angle = 3x = 3*15 = 45°

A 45-45-90 triangle would have a ratio of x : x : \sqrt{2} ... your logic for first explanation is wrong but you came to a right conclusion by luck. Triangle can't be right-angled because then a 45 degree angle + 90 degrees means your third angle is also 45. 45:45:90 cannot have a 3:4:5 ratio because 3:4:5 is not x : x : \sqrt{2}

Your second method is correct nonetheless. Re: If the degree measures of the angles of a triangle are in th   [#permalink] 01 Jun 2020, 18:16
Display posts from previous: Sort by

# If the degree measures of the angles of a triangle are in th  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.