Skip to Main Content

Source: Official Guide for the GMAT 13th Ed. Problem Solving; #228 Official Guide for the GMAT 2015 14th Ed. Problem Solving; #228

1

Right triangle PQR is to be constructed

Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities -4 x 5 and 6 y 16. How many different triangles with these properties could be constructed?

2 Explanations

1

Imran Manji

I broke this problem down by different points:

Level set: there are 10 options for X and 11 options for Y

Point P: There are a total of 110 options (10 x 11)
Point R: Since the Y value will stay the same, we have 9 options for X (-1 because a point is already taken for P)
Point Q: Since the X value will stay the same, we have 10 options for Y (-1 because a point is already taken for Q)

110 x 10 x 9 = 9,900

Is my logic correct?

Apr 26, 2016 • Comment

Cydney Seigerman, Magoosh Tutor

Hi Imran!

Yes, that is a great way to approach this problem! Good job :)

Apr 30, 2016 • Reply

2

Gravatar Mike McGarry, Magoosh Tutor

Dec 28, 2013 • Comment

Add Your Explanation

You must have a Magoosh account in order to leave an explanation.

Learn More About Magoosh

Official GMAT Material

Official Guide for GMAT Review 2016

Official Guide for the GMAT 13th Ed.

Official Guide for the GMAT 2015 14th Ed.

Nova's GRE Prep

Official Guide for the GMAT 12th Ed.

Revised GRE PDF 2nd Ed.


Section 5.3 Problem Solving

Section 5.3 Problem Solving

Improve Your Score

Magoosh GMAT is an affordable online course for studying the GMAT.

Learn More About Magoosh

Share Post

Email

Facebook