Algebra-2

In a 45-45-90 triangle, the two legs are congruent, and the length of the hypotenuse is equal to the length of the leg multiplied by the square root of 2.

 

Given that the hypotenuse of the triangle is 12, we can determine the value of the legs.

 

Let's denote the length of each leg as .

 

According to the properties of a 45-45-90 triangle, we have:

 

 

Dividing both sides of the equation by , we get:

 

 

To rationalize the denominator, we multiply both the numerator and denominator by :

 

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