Answer:
the last choice m=2 , n=2
Step-by-step explanation:
Opp= Opposite
Hyp = Hypotenuse
Adj = Adjacent
this is a tuff problem.. but use SOH CAH TOA to remember how to use the trig functions to fit onto the triangle Sin= opp/Hyp Cos=Adj/Hyp Tan=Opp/Adj
Next look at the given triangle to see what you do know about it
we are given the angle and one side.. that side also happens to be the Hyp
then find one of the trig functions that has both of those given pieces of info and one unknown that you'd like to find.. hmm Let's try to find n
so we want Hyp, Adj and angle.. that's the Cos trig function.. nice now plug in the knowns and solve for the one unknown
Cos(45) = Adj / Hyp
Hyp * ([tex]\sqrt{2}[/tex] /2) = Adj
2[tex]\sqrt{2}[/tex] ([tex]\sqrt{2}[/tex] /2) = Adj
the twos cancel and the square roots of two just make 2
2= Adj ( the Adj side is the n side )
2=n
also since this is an isosceles triangle we know that side m is also the same, how do we know it's an isosceles you ask? b/c the total angle around the triangle is going to be 180 and 180=90+ 45 + 45.... I did this just by looking at the triangle.. but you can see that also. since both base angles.. the base is the Hyp.. are the same.. we know it's an isosceles triangle.. hence we know m = n there for
m=2