GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
An isosceles right triangle has an area of 50. What is the l
[#permalink]
20 Sep 2018, 16:51
20 Sep 2018, 16:51
Expert Reply
2
Bookmarks
00:00
Question Stats:
79% (00:58) correct
20% (00:58) wrong based on 98 sessions
Hide Show 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) \(10\sqrt{2}\)
(A) \(5\)
(B) \(5\sqrt{2}\)
(C) \(5\sqrt{3}\)
(D) \(10\)
(E) \(10\sqrt{2}\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: An isosceles right triangle has an area of 50. What is the l
[#permalink]
23 Apr 2019, 06:28
23 Apr 2019, 06:28
1
sandy 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) \(10\sqrt{2}\)
(A) \(5\)
(B) \(5\sqrt{2}\)
(C) \(5\sqrt{3}\)
(D) \(10\)
(E) \(10\sqrt{2}\)
Here's an isosceles right triangle with sides of length x
Area of triangle = (base)(height)/2
So, we can write: 50 = (x)(x)/2
In other words: 50 = x²/2
We get: 100 = x²
Solve: x = 10
So, our triangle looks like this:
To find the length of the hypotenuse (k), we can apply the Pythagorean Theorem:
We get: 10² + 10² = k²
Keep going: 200 = k²
So, k = √200
= √[(100)(2)]
= (√100)(√2)
= 10√2
Answer: E
Cheers,
Brent
Re: An isosceles right triangle has an area of 50. What is the l
[#permalink]
23 Apr 2023, 05:07
23 Apr 2023, 05:07
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
