Question:

In isosceles triangle EFG above, angle FEG measures 60 degrees and side FG measures 10 centimeters. What is the length in centimeters, of side EG?

1. 10
2. 15
3. 20
4. 30
5. Cannot be determined

“In isosceles triangle EFG above, angle FEG measures 60 degrees “ - is a topic that is covered in the quantitative reasoning section of the GMAT. To successfully execute the GMAT Problem Solving questions, a student must possess a wide range of qualitative skills. The entire GMAT Quant section consists of 31 questions. The problem-solving section of the GMAT Quant topics requires the solution of calculative mathematical problems.

Solutions and Explanation

Approach Solution : 1

Triangle EFG is an equilateral triangle, no matter how it is looked into

Instance 1: If angle FEG = angle FGE (an isosceles triangle property) = 60 degrees, angle EFG will also be 60 degrees.

Instance 2: If angle FEG = angle EFG (an isosceles triangle property) = 60 degrees, angle FGE will also be 60 degrees.

Instance 3: If angle EFG = angle FGE (an isosceles triangle property) = (180-60)/2 = 60 degrees.

Triangle EFG is an equilateral triangle since it will always have three angles that are all 60 degrees in all instances.

As a result, if one side is 10 cm, all of the sides will also be 10 cm. Thus, side EG = 10 cm.

Correct Answer: (A)

Suggested GMAT Problem Solving Samples

• There are 7 Red and 5 Blue Marbles in a Jar GMAT Problem Solving
• A Basket Contains 3 White and 5 Blue Balls GMAT Problem Solving
• Working together, John and Jack can type 20 pages in one hour GMAT Problem Solving
• Is x^2 *x^5*z>0? GMAT Problem Solving
• The average (arithmetic mean) of four distinct positive integers is 10 GMAT Problem Solving
• How many roots does the equation √x2+1+√x2+2=2 have? GMAT Problem Solving
• A Box Contains 10 Tablets of Medicine A and 15 Tablets of Medicine B GMAT Problem Solving
• If x=√10+3√9+4√8+5√7+6√6+7√5+8√4+9√3+10√2 then which of the following must be true? GMAT Problem Solving
• What is the last digit of (3)^(3)^3? GMAT Problem Solving
• It takes Jack 2 more hours than Tom to type 20 pages GMAT Problem Solving
• The angles in a triangle are x, 3x, 5x degrees GMAT Problem Solving
• If among 5 children, there are 2 siblings; in how many ways can the children be seated GMAT Problem Solving
• Among 200 People, 56% like Strawberry Jam, 44% like Apple Jam, and 40% like Raspberry Jam GMAT Problem Solving
• If 4 Women and 6 Men Work in the Accounting Department GMAT Problem Solving
• If 2^98=256L+N, where L and N are integers and 0≤N≤4, what is the value of N? GMAT Problem Solving
• A draining pipe can empty a pool in 4 hours GMAT Problem Solving
• If equation |x| + |y| = 5 encloses a certain region on the graph, what is the area of that region? GMAT Problem Solving
• Kate and David each have $10 GMAT Problem Solving
• How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4, and 5 which are divisible by 3, without repeating the digits? GMAT Problem Solving
• Which of the following lines are parallel to line x = 4 – 2y? GMAT Problem Solving