Answer:
a=12 ft, b=12 ft
Step-by-step explanation:
-Length A and length B are equal since the right angle triangle is also an isosceles triangle.
-We use the Law of sines to calculate the two lengths:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft[/tex]
Hence, length a is equal to length b which is equal to 12 ft
