Geometry Techniques for GMAT
This is the second in a mini-series on geometry for GMAT. In this
video, we will focus on the techniques that you will need to answer
some of the more advanced questions in geometry. We will go
through these techniques step by step so that you can easily
understand and apply them.
For those who are not familiar with these terms or haven't
encountered them in a while, do not worry as we will cover these
techniques in detail. We will start with plane geometry and discuss
how to approach each question strategically to arrive at the best
solution.
Throughout this video, we will cover special triangle ratios,
Pythagoras in two and three dimensions, cubes, and a variety of
other shapes. Also, we will look at triangle ratios, special triangle
proportions, perimeters, areas, surface areas, and volumes of
shapes.
Moreover, we will highlight the triangle equality rule that any two
sides of a triangle sum must be greater than the third side.
Furthermore, we will take a look at how to find the longest journey
between two points in a triangle.
For each question that we present on the screen, we will give you a
few minutes to attempt it before we explain in detail the answer to
the question.
Conclusion
By the end of this video, you will be comfortable approaching and
solving any geometry problem related to GMAT with ease. To begin,
let's move on to the first question.
The triangle inequality rule states that the sum of any two sides of a
triangle must be greater than the third side, or the sum of these two
sides can be greater. This rule is frequently seen in GMAT exams.
The perimeter of a triangle, denoted by P, is between 10 and 18
(exclusive of 18), so P cannot be equal to 18.
Consider the following question: “The perimeter of a triangle is
between 10 and 18. Is the perimeter greater than 16?” The answer
is yes, because if the perimeter were equal to 16, that means two
sides are equal to 7, and the third side is equal to 2, which violates
the triangle inequality rule. The upper limit of P is 17.
Now, we will discuss a data sufficiency version of the triangle
inequality rule. Suppose one side of a triangle is 7 and the perimeter
of the triangle is greater than 13. We know that the bigger side,
This is the second in a mini-series on geometry for GMAT. In this
video, we will focus on the techniques that you will need to answer
some of the more advanced questions in geometry. We will go
through these techniques step by step so that you can easily
understand and apply them.
For those who are not familiar with these terms or haven't
encountered them in a while, do not worry as we will cover these
techniques in detail. We will start with plane geometry and discuss
how to approach each question strategically to arrive at the best
solution.
Throughout this video, we will cover special triangle ratios,
Pythagoras in two and three dimensions, cubes, and a variety of
other shapes. Also, we will look at triangle ratios, special triangle
proportions, perimeters, areas, surface areas, and volumes of
shapes.
Moreover, we will highlight the triangle equality rule that any two
sides of a triangle sum must be greater than the third side.
Furthermore, we will take a look at how to find the longest journey
between two points in a triangle.
For each question that we present on the screen, we will give you a
few minutes to attempt it before we explain in detail the answer to
the question.
Conclusion
By the end of this video, you will be comfortable approaching and
solving any geometry problem related to GMAT with ease. To begin,
let's move on to the first question.
The triangle inequality rule states that the sum of any two sides of a
triangle must be greater than the third side, or the sum of these two
sides can be greater. This rule is frequently seen in GMAT exams.
The perimeter of a triangle, denoted by P, is between 10 and 18
(exclusive of 18), so P cannot be equal to 18.
Consider the following question: “The perimeter of a triangle is
between 10 and 18. Is the perimeter greater than 16?” The answer
is yes, because if the perimeter were equal to 16, that means two
sides are equal to 7, and the third side is equal to 2, which violates
the triangle inequality rule. The upper limit of P is 17.
Now, we will discuss a data sufficiency version of the triangle
inequality rule. Suppose one side of a triangle is 7 and the perimeter
of the triangle is greater than 13. We know that the bigger side,
