Respuesta :

Answer:

Step-by-step explanation:

x and x are both equal because the two angles opposite them are equal (both angles are 45  degrees).

In addition, the third angle is 90 degrees. You can use the Pythagorean Theorem.

x^2 +x^2 = 12^2

2x^2 = 144                         Divide by 2

x^2 = 144/2

x^2 = 72                            Factor 72 using prime factors.

x^2= 2*2*2 * 3*3

Every pair of equal factors contributes 1 factor to the question mark outside the root sign. The other factor is thrown away.

sqrt(x^2) = 2 * 3 *  sqrt 2  a single  two is left under the root sigen

x =6 sqrt(2)

 

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