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Answer:
Step-by-step explanation:
b/c this is an isosceles triangle we know that either leg is the same length.. so we can use many trig functions :)
SOH CAH TOA to remember how trig functions fit on the triangle...
we know the hypotenuse and the angle and we want to find the adjacent leg ( which for this triangle is also the opposite leg )
use Cos = Adj / Hyp
Hyp*Cos(45) = adj
16* [tex]\sqrt{2}/2[/tex] = adj
8*[tex]\sqrt{2}[/tex] = adj
each leg is the same [tex]8\sqrt{2}[/tex]