All ISEE Upper Level Quantitative Resources
Example Question #1 : How To Find The Length Of The Side Of An Equilateral Triangle
Which of the following could be the three sidelengths of an equilateral triangle?
By definition, an equilateral triangle has three sides of equal length. We can identify the equilateral triangle by converting the given sidelengths to the same units and comparing them.
We can eliminate the following by showing that at least two sidelengths differ.
2 yards = feet.
Two sides have lengths 6 feet and 7 feet, so we can eliminate this choice.
4 feet = inches
Two sides have lengths 48 inches and 50 inches, so we can eliminate this choice.
5 feet = inches
Two sides have lengths 48 inches and 60 inches, so we can eliminate this choice.
yards = feet
Two sides have lengths 4 feet and 5 feet, so we can eliminate this choice.
yards = feet = inches
All three sides have the same length, making this the triangle equilateral. This choice is correct.