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Nezavi [6.7K]
3 years ago
12

The areas of the squares adjacent to two sides of a right triangle are 32units^2 and 32 units^2

Mathematics
2 answers:
natima [27]3 years ago
8 0

Answer:

Step-by-step explanationmoo

adoni [48]3 years ago
4 0

Answer:

x = 8 units.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

<em>The areas of the squares adjacent to two sides of a right triangle are 32 unit square and 32 units square. Find the length,x, of the third side of the triangle</em>

My answer:

  • Let a is the side length of the 1st square

The area of the 1st square is equal to 32 units square

<=> a^{2} = 32

<=> a = 4\sqrt{2} units

  • Let b is the length  of the 2nd  square

The area of the 2nd square is equal to 32 units square

<=> b^{2} = 32

<=> b = 4\sqrt{2} units

  • Find the value of x

Applying the Pythagoras Theorem, we have:

x^{2} = a^{2} + b^{2}

<=> x^{2}  = 32 + 32  

<=> x^{2} = 64

<=> x = 8 units

Hope it will find you well.

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