Answer:
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)