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PLEASE READ DESCRIPTION BEFORE ANSWERING

 

I first picked option A because thats what I think was right and AI and even google was saying its correct... but it ended up being wrong so then I picked option C. because that was my next bet because AI and other forums then said its wold be correct WHICH IT WASNT. what is the correct ANSWER the 

 

THE ANSWER IS EITHER OPTION B OR D EXPLAIN IF IT IS EITHER ONE

 

The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a right triangle?

 

The set is 9, 12, and 15 

OR

 

One leg is 9...

Second leg is 12...

The hypotenuse is 15.....

 

Here are the options ( I only allowed to pick one answer )

 

Based on the converse of the Pythagorean theorem, the triangle is a right triangle because 9^2 + 12^2 = 15^2. ( what i picked ) 

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9 + 12 does not equal 15.

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9^2 + 12^2 does not equal 15^2. ( what I picked on my second try on the quiz )

Based on the converse of the Pythagorean theorem, the triangle is not a right triangle because 9 + 15 does not equal 12.

 Mar 17, 2025
 #1
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It's not confusing. You should have payed more attention in class.

 Mar 18, 2025
edited by pythagorasghost  Mar 18, 2025
 #3
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It says the area of the squares created by the side lengths of the triangle are shown below. Does this mean that 9, 12, 15 are NOT the side lengths of the triangle? its a bit confusing when you dont have an image. 

 

IF 9, 12, 15 ARE the side lengths of the triangle, it must be a right triangle. So in that case, the key is probably wrong. 

IF 9, 12, 15 are not the side lengths of the triangle, that would mean its either b or d. Now based on the information given, I'm assuming 9, 12, 15 are the AREAS of squares, and the squares each share a side length with the triangle. So that means each side length would be the square root of 9, 12, 15. So when you apply pythagoras, 9 + 12 is not equal to 15, so it should be b. 

 Mar 25, 2025

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