Most Students Can’t Do This: Distance Between Two Points ¦ GRE / GMAT Math
35.4 هزار بار بازدید -
5 سال پیش
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Today, we are going to
Today, we are going to master finding the distance between two coordinates.
Comes up all the time in the GRE, GMAT and many other Quantitative tests.
So, how would you find the distance between the points (5,0) and (0,6)?
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: https://www.gretutorlondon.com/
Enquiries: [email protected]
The key is to think of those points as part of a triangle, with a horizontal distance between them and a vertical distance between them.
Why would that be helpful?
Because then we can use Pythagoras to find the actual distance between the two points!
How do we find the horizontal distance?
Difference in x’s
How do we find the vertical distance?
Difference in y’s – ignore the minus as we simply care about the distance not whether it is up or down.
Then, pythagoras away!
Let’s try a more difficult set of coordinates.
(-2, 4) and (3, 16)
Finally, let’s use this trick on a wordy question:
Saurabh and Hassan start at the same location. Saurabh travels 5 miles east and then 5 miles north. Hassan travels 2 miles south and then 7 miles west. How many miles apart are Saurabh and Hassan now?
We can again use visualisation and the Pythagoras Theorem to find the length between two coordinates.
Hope this video helped you to find the straight-line distance on a coordinate plane, aka the distance between two points. Coordinate geometry GRE / GMAT can be fun!
Perfect GRE Math / GMAT Math complement to videos by Learn Math Tutorials, ExamSolutions, tecmath and Don't Memorise.
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: https://www.gretutorlondon.com/
Enquiries: [email protected] If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
Here is her link - https://linktr.ee/angel_accel - and you can reach her at [email protected] with the subject line, “PHILIP SENT ME.”
Comes up all the time in the GRE, GMAT and many other Quantitative tests.
So, how would you find the distance between the points (5,0) and (0,6)?
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: https://www.gretutorlondon.com/
Enquiries: [email protected]
The key is to think of those points as part of a triangle, with a horizontal distance between them and a vertical distance between them.
Why would that be helpful?
Because then we can use Pythagoras to find the actual distance between the two points!
How do we find the horizontal distance?
Difference in x’s
How do we find the vertical distance?
Difference in y’s – ignore the minus as we simply care about the distance not whether it is up or down.
Then, pythagoras away!
Let’s try a more difficult set of coordinates.
(-2, 4) and (3, 16)
Finally, let’s use this trick on a wordy question:
Saurabh and Hassan start at the same location. Saurabh travels 5 miles east and then 5 miles north. Hassan travels 2 miles south and then 7 miles west. How many miles apart are Saurabh and Hassan now?
We can again use visualisation and the Pythagoras Theorem to find the length between two coordinates.
Hope this video helped you to find the straight-line distance on a coordinate plane, aka the distance between two points. Coordinate geometry GRE / GMAT can be fun!
Perfect GRE Math / GMAT Math complement to videos by Learn Math Tutorials, ExamSolutions, tecmath and Don't Memorise.
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: https://www.gretutorlondon.com/
Enquiries: [email protected] If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
Here is her link - https://linktr.ee/angel_accel - and you can reach her at [email protected] with the subject line, “PHILIP SENT ME.”
5 سال پیش
در تاریخ 1398/05/24 منتشر شده
است.
35,457
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