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An isosceles right triangle has an area of 50. What is the l
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20 Sep 2018, 16:51
20 Sep 2018, 16:51
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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) \(10\sqrt{2}\)
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: An isosceles right triangle has an area of 50. What is the l
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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
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23 Apr 2023, 05:07
23 Apr 2023, 05:07
Hello from the GRE Prep Club BumpBot!
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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.
