It is currently 19 Oct 2017, 09:41

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Ratio between angles and sides in a right angle traingle.

Author Message
TAGS:

### Hide Tags

Manager
Joined: 09 Apr 2012
Posts: 63

Kudos [?]: 66 [0], given: 29

Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

02 May 2012, 09:32
Is there a general formula or an idea to calculate the ratio between the angles when sides are given and/or vice-versa?
Can this be applied to non-right angle triangles too?

Kudos [?]: 66 [0], given: 29

Intern
Joined: 01 May 2012
Posts: 34

Kudos [?]: 6 [0], given: 4

Location: United States
Concentration: Accounting, Marketing
GMAT Date: 09-01-2012
WE: Sales (Manufacturing)
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

02 May 2012, 09:41
I don't think there's any relation between side length and angle. I just add or subtract the angles.

Kudos [?]: 6 [0], given: 4

Founder
Joined: 04 Dec 2002
Posts: 15581

Kudos [?]: 28497 [0], given: 5113

Location: United States (WA)
GMAT 1: 750 Q49 V42
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

02 May 2012, 09:56
Moving to the Quant forum.
_________________

Founder of GMAT Club

Just starting out with GMAT? Start here... or use our Daily Study Plan

Co-author of the GMAT Club tests

Kudos [?]: 28497 [0], given: 5113

Manager
Joined: 09 Apr 2012
Posts: 63

Kudos [?]: 66 [0], given: 29

Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

02 May 2012, 10:23
@Jay: There is ,in the case of a right angle triangle.
One has to do some manipulations over the base, perpendicular and hypotenuse of the angles.
I have very little memory of what has to be done exactly.

Kudos [?]: 66 [0], given: 29

Intern
Joined: 27 Jan 2012
Posts: 24

Kudos [?]: 15 [0], given: 3

Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

02 May 2012, 21:00
In a general case, there is no relation between angles and sides of a triangle.

Kudos [?]: 15 [0], given: 3

Manager
Joined: 09 Apr 2012
Posts: 63

Kudos [?]: 66 [1], given: 29

Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

04 May 2012, 21:07
1
KUDOS
A,B,C being three sides in a triangle.

Ratio between them is a:b:c.
Let c be the hypotenuse.

Divide the above ration with c.
So the ratio between the sides is a:b:c is equivalent to a/c:b/c:c/c.

we know that a/c, b/c ,c/c is the sin,cos and tan of one the angle.
So you will get the ratio accordingly.

Kudos [?]: 66 [1], given: 29

Intern
Joined: 31 May 2009
Posts: 1

Kudos [?]: [0], given: 0

Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

17 May 2012, 01:22
There is NO relation between Angles and Sides of a triangle.

Kudos [?]: [0], given: 0

Current Student
Joined: 21 May 2012
Posts: 97

Kudos [?]: 42 [0], given: 0

Location: United States (CA)
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

21 May 2012, 15:26
No relation.

A 30-60-90 triangle with sides of 3-4-5 has ratios of 1:2:3 (angles) and 3:4:5 (sides). It could also have the same angle ratios but have side ratios as 5:12:13.

Kudos [?]: 42 [0], given: 0

Senior Manager
Joined: 28 Dec 2010
Posts: 325

Kudos [?]: 259 [0], given: 33

Location: India
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

25 May 2012, 19:00
in case of a 30-60-90 triangle the sides opposite the respective angles have the following relative lengths x sq rt 3) x : 2x

In case of a 45:45:90 triangle the sides are in the following proportion x:x:(sq rt 2) x

Generally the side opposite the largest anlge is the biggest side and the side opposite the smallest angle is the smallest side.

Kudos [?]: 259 [0], given: 33

Joined: 29 Mar 2012
Posts: 322

Kudos [?]: 514 [0], given: 23

Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

27 May 2012, 06:24
Hi,

Here is the general formula (applicable to any triangle),
$$a/sinA = b/sinB = c/sinC$$ (out of scope of GMAT)

And as per GMAT,
for a right angles triangle only two combinations of angles are useful, i.e, 30,60,90 where ratio of sides is 1:\sqrt{3}:2
and 45,45,90 -> ratio of sides - 1:1:\sqrt{2}

Regards,

Last edited by cyberjadugar on 27 May 2012, 09:39, edited 1 time in total.

Kudos [?]: 514 [0], given: 23

Senior Manager
Joined: 28 Dec 2010
Posts: 325

Kudos [?]: 259 [0], given: 33

Location: India
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

27 May 2012, 08:26
cyberjadugar I dont think trigonometry is under gmat syllabus.

Kudos [?]: 259 [0], given: 33

Joined: 29 Mar 2012
Posts: 322

Kudos [?]: 514 [0], given: 23

Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: Ratio between angles and sides in a right angle traingle. [#permalink]

### Show Tags

27 May 2012, 09:38
vibhav wrote:
cyberjadugar I dont think trigonometry is under gmat syllabus.

Agreed, trigonometry is not covered in GMAT.

Mentioned the formula just for the sack of learning, if anyone is interested.

Kudos [?]: 514 [0], given: 23

Re: Ratio between angles and sides in a right angle traingle.   [#permalink] 27 May 2012, 09:38
Display posts from previous: Sort by