GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jan 2019, 20:15

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# An isosceles right triangle has an area of 50. What is the length of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52285
An isosceles right triangle has an area of 50. What is the length of  [#permalink]

### Show Tags

21 Sep 2018, 00:19
00:00

Difficulty:

15% (low)

Question Stats:

86% (00:55) correct 14% (00:50) wrong based on 36 sessions

### HideShow timer Statistics

An isosceles right triangle has an area of 50. What is the length of the hypotenuse?

(A) $$5$$

(B) $$5\sqrt{2}$$

(C) $$5\sqrt{3}$$

(D) $$10$$

(E) $$10\sqrt{2}$$

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2726
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: An isosceles right triangle has an area of 50. What is the length of  [#permalink]

### Show Tags

21 Sep 2018, 00:28
Bunuel wrote:
An isosceles right triangle has an area of 50. What is the length of the hypotenuse?

(A) $$5$$

(B) $$5\sqrt{2}$$

(C) $$5\sqrt{3}$$

(D) $$10$$

(E) $$10\sqrt{2}$$

Let, Side of isosceles triangle be x

Area $$= (1/2)*x*x = 50$$
i.e. $$x^2 = 100$$

i.e. $$x = 10$$

Hypotenuse = $$x√2 = 10√2$$

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
Re: An isosceles right triangle has an area of 50. What is the length of  [#permalink]

### Show Tags

22 Sep 2018, 03:04

Solution

Given:
• An isosceles right triangle has an area of 50

To find:
• The length of the hypotenuse of the triangle

Approach and Working:
In an isosceles right-angle triangle, the angles are in the ratio 45 – 45 – 90.
Hence, the side ratio is 1: 1: √2
• So, we can assume the sides as a, a, and a√2

Now, we can write ½ x a x a = 50
• Or, a2 = 100, implies a = 10
• Therefore, hypotenuse = a√2 = 10√2

Hence, the correct answer is option E.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: An isosceles right triangle has an area of 50. What is the length of &nbs [#permalink] 22 Sep 2018, 03:04
Display posts from previous: Sort by