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Two right triangles,  and , are joined as shown. Squares are drawn on four of the sides. The areas of three of the squares are 9, 16 and 36 square units. What is the number of square units in the area of the fourth square?

Note that the diagram is not drawn to scale.



 

 Dec 9, 2021
 #1
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By Pythagoras, the area of the fourth square is 56.

 Dec 9, 2021
 #2
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Thanks, but it's wrong. 😭

I only get one more try and it's due today. 😢

AlgebraGuru  Dec 9, 2021
 #3
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Also, I forgot to metion

Two right triangles, ABC and ACD, are joined as shown. Squares are drawn on four of the sides. The areas of three of the squares are 9, 16 and 36 square units. What is the number of square units in the area of the fourth square?

Note that the diagram is not drawn to scale.

AlgebraGuru  Dec 9, 2021
 #4
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+1

9+36=45

45+16=61

 

the asnwer is 61 units^2

 Dec 9, 2021
 #5
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+1

Thank you soooooo much!!!!!! I can't thank you enough!!

AlgebraGuru  Dec 9, 2021
 #6
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Well you can thank me by understanding and learning.

As opposed to just copying.    wink

Melody  Dec 9, 2021

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