BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
BTGmoderatorDC wrote: ↑Mon Jan 13, 2020 6:27 pmWhich of the following can be the ratio of sides of a triangle?
I. \(3:\sqrt{4}:5\)
II. \(\sqrt{3}:4:5\)
III. \(3:4:\sqrt{5}\)
A. II only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
OA D
In order to be the ratio of the sides of a triangle, the sum of the two smaller numbers should be greater than the largest number.
In I, the largest number is 5, but 3 + √4 = 3 + 2 = 5, which is not greater than 5. So I can’t be the ratio of the sides of a triangle.
In II, the largest number is also 5, and √3 + 4 ≈ 1.7 + 4 = 5.7, which is greater than 5. So II can be the ratio of the sides of a triangle.
In III, the largest number is 4, and 3 + √5 ≈ 3 + 2.2 = 5.2, which is greater than 4. So III can be the ratio of the sides of a triangle.
Answer: D
New here Create free account
