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12 Nov 2022, 04:03
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:24) correct
32%
(01:47)
wrong
based on 31
sessions
History
Date
Time
Result
Not Attempted Yet
The lengths of the three sides of the triangle are 2x + 1, 6x, and 5x + 3. Is the triangle a right triangle ?
(1) (2x + 1)^2 + (6x)^2 = (5x + 3)^2
(2) 2x + 1 =5
(1) (2x + 1)^2 + (6x)^2 = (5x + 3)^2
(2) 2x + 1 =5
3 sides of the triangle is 2x+1, 6x, 5x+3. is a triangle the right triangle?
1) (2x+1)^2+(6x)^2=(5x+3)^2
2) 2x+1=5
1) (2x+1)^2+(6x)^2=(5x+3)^2
2) 2x+1=5
12 Nov 2022, 04:50
Kudos
Bookmarks
Bunuel
Question Stem Analysis:
We are given the side lengths of a triangle in terms of x. We need to determine whether the triangle is a right triangle.
Statement One Alone:
\(\Rightarrow\) (2x+1)^2+(6x)^2=(5x+3)^2
This statement basically tells us that the sides of the triangle satisfy the Pythagorean theorem, which means the triangle is a right triangle. Statement one alone is sufficient.
Eliminate answer choices B and E.
Statement Two Alone:
\(\Rightarrow\) 2x + 1 = 5
Using this statement, we can determine a unique value for x, which means we can determine the lengths of the three sides of the triangle. This is sufficient information to answer the question, we simply need to check whether the side lengths satisfy a^2 + b^2 = c^2.
Answer: D
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