It is currently 19 Nov 2017, 09:21

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

What is the perimeter of a certain right triangle?

Author Message
TAGS:

Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4318

Kudos [?]: 3038 [0], given: 0

GPA: 3.82
What is the perimeter of a certain right triangle? [#permalink]

Show Tags

06 Mar 2017, 01:13
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

58% (00:57) correct 42% (00:50) wrong based on 97 sessions

HideShow timer Statistics

What is the perimeter of a certain right triangle?

1) The hypotenuse’s length is 10
2) The triangle’s area is 24
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3038 [0], given: 0

Senior Manager
Joined: 05 Jan 2017
Posts: 435

Kudos [?]: 62 [0], given: 15

Location: India
Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

06 Mar 2017, 03:52
prompt analysis
let the other two sides be a and b. hypotenuse = (a^2 +b^2 )^1/2
area = ab/2

superset
the answer will be a positive real number.

Translation
In order to find the answer, we need:
1# exact value of a and b
2# two equation in a and b
3# the value of the product ab

statement analysis
St 1: (a^2 +b^2 )^1/2 = 10. two variable, one equation. INSUFFICIENT
St 2: ab/2 = 24. two variable, one equation. INSUFFICIENT.

St 1 & St 2: two variable, two equation. Can be calculated. SUFFICIENT.

Option C

Kudos [?]: 62 [0], given: 15

Intern
Joined: 09 Nov 2016
Posts: 22

Kudos [?]: 2 [0], given: 3

Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

06 Mar 2017, 04:21
Because we know 10 is the hypotenuse so it should be from the set (6,8,10). Option 1 sufficient
Area is 24. Ie base * height = 24 * 2 = 48
48 we factorize and see if any of the no:S from right triangle set is derived i.e.
48= 2^4 * 3, which is 8*6 and 12* 4. 4,12 doesn't form a set of right triangle sides but 6,8 forms a set and the third side is 10. Therefore perimeter is 24 .
Thus option D.

Sent from my iPhone using GMAT Club Forum

Kudos [?]: 2 [0], given: 3

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4318

Kudos [?]: 3038 [0], given: 0

GPA: 3.82
Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

08 Mar 2017, 01:12
==> In the original condition, for a right triangle, there are 2 variables (2 legs) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), you get 6:8:10 and the perimeter of the right triangle becomes 6+8+10=24, hence unique and sufficient.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3038 [0], given: 0

Intern
Joined: 01 May 2016
Posts: 3

Kudos [?]: 1 [1], given: 7

Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

13 Mar 2017, 06:05
1
KUDOS
Question : Can you please elaborate more the answer? How did you get the 6 and 8?

Kudos [?]: 1 [1], given: 7

Director
Joined: 12 Nov 2016
Posts: 794

Kudos [?]: 36 [0], given: 165

Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

06 Sep 2017, 22:44
MathRevolution wrote:
What is the perimeter of a certain right triangle?

1) The hypotenuse’s length is 10
2) The triangle’s area is 24

The trick with this question is that in statement 1 we cannot actually assume that the sides are 6 and 8 just because we know that

x^2 +y^2 = 100

We cannot make any assumptions about X and Y UNLESS there is a restriction such as "X and Y must be integers" or "The product of XY is 48."

C

Kudos [?]: 36 [0], given: 165

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4318

Kudos [?]: 3038 [0], given: 0

GPA: 3.82
Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

09 Sep 2017, 21:29
arpanmagoo wrote:
Question : Can you please elaborate more the answer? How did you get the 6 and 8?

Assume we have two sides $$a$$ and $$b$$ and a hypothesis 10.
Then we have $$a^2 + b^2 = 100$$ and $$\frac{1}{2}ab = 24$$
Thus $$a = 6$$, $$b = 8$$ or $$a = 8$$, $$b = 6$$.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3038 [0], given: 0

Re: What is the perimeter of a certain right triangle?   [#permalink] 09 Sep 2017, 21:29
Display posts from previous: Sort by