offers hundreds of practice questions and video explanations. Go there now.
Sign up or log in to Magoosh GRE Prep.

Brain Twister: Looking for Mr. Right Triangle


Ready for this week’s challenging Brain Twister?


Right triangle DEF has a hypotenuse of less than 7. What is the maximum possible area of DEF, if the area of DEF is an integer?

Numeric Entry [_____________]


See you on Thursday for the answer and explanation!


By the way, students who use Magoosh GRE improve their scores by an average of 8 points on the new scale (150 points on the old scale.) Click here to learn more.

7 Responses to Brain Twister: Looking for Mr. Right Triangle

  1. Laveena November 6, 2014 at 9:55 pm #

    Yup got it!!

    Base=heigth=7/(root 2)=4.94


  2. Laveena November 6, 2014 at 1:45 am #

    10 ( half the product of 4 and 5)

    • Chris Lele
      Chris Lele November 6, 2014 at 3:31 pm #

      One way to work this problem is doing so backwards, thinking which two numbers, when squared, add up to one less than 7^2 (which is 48).

      Hope that helps!

  3. kishore November 4, 2014 at 2:54 am #

    ANS: 9 ?

    • Ramesh November 5, 2014 at 4:17 pm #

      12 it is ..

      • Chris Lele
        Chris Lele November 6, 2014 at 3:27 pm #

        Yes, that is it!

    • Chris Lele
      Chris Lele November 6, 2014 at 3:28 pm #

      Almost…think in terms of 45:45:90 triangles 🙂

Magoosh blog comment policy: To create the best experience for our readers, we will only approve comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! 😄 Due to the high volume of comments across all of our blogs, we cannot promise that all comments will receive responses from our instructors.

We highly encourage students to help each other out and respond to other students' comments if you can!

If you are a Premium Magoosh student and would like more personalized service from our instructors, you can use the Help tab on the Magoosh dashboard. Thanks!

Leave a Reply