Answer:
a=12ft, b=12ft
Step-by-step explanation:
First, solve for the missing angle. Using the knowledge that all triangles have angles that sum 180, we can figure out that the missing angle is 45 degrees. This means that this triangle is a special 45-45-90 angle. This type of triangle has a few special rules. One of them is that both of the legs are congruent. Thus, both a and b most be equal.
The next rule is: if the legs equal x, then the hypotenuse equals x[tex]\sqrt{2}[/tex]. So, to find the legs divide the hypotenuse by [tex]\sqrt{2}[/tex]. So, a and b must equal 12 because 12[tex]\sqrt{2}/\sqrt{2}[/tex] is just 12.
