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The area of isosceles right triangle XYZ equals 9. Which of
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26 Jun 2020, 00:53
26 Jun 2020, 00:53
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The area of isosceles right triangle XYZ equals 9. Which of the following could be the perimeter?
I. 12
II. 13 + √145
III. 6√2 + 6
(A) I only
(B) I and III
(C) III only
(D) I and II
(E) All of the above
I. 12
II. 13 + √145
III. 6√2 + 6
(A) I only
(B) I and III
(C) III only
(D) I and II
(E) All of the above
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Joined: 10 Apr 2015
Posts: 6218
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Re: The area of isosceles right triangle XYZ equals 9. Which of
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26 Jun 2020, 06:45
26 Jun 2020, 06:45
2
Farina wrote:
The area of isosceles right triangle XYZ equals 9. Which of the following could be the perimeter?
I. 12
II. 13 + √145
III. 6√2 + 6
(A) I only
(B) I and III
(C) III only
(D) I and II
(E) All of the above
I. 12
II. 13 + √145
III. 6√2 + 6
(A) I only
(B) I and III
(C) III only
(D) I and II
(E) All of the above
Here's what an isosceles right triangle looks like:
Given: The area = 9
Area of triangle = (base)(height)/2
So we can write: (x)(x)/2 = 9
Multiply both sides of the equation by 2 to get: x² = 18
Solve: x = √18
Simplify: x = 3√2
So our triangle looks like this:
Aside: If x = 3√2, then (√2)(x) = (√2)(3√2) = 6
Perimeter = 3√2 + 3√2 + 6 = 6√2 + 6
Answer: C
Cheers,
Brent
Re: The area of isosceles right triangle XYZ equals 9. Which of
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23 Apr 2023, 10:42
23 Apr 2023, 10:42
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.
