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# 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!

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### 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

Thanks!

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

10 ( half the product of 4 and 5)

• 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 November 6, 2014 at 3:27 pm #

Yes, that is it!

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

Almost…think in terms of 45:45:90 triangles ðŸ™‚

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