AB BC Please show your workexplain how you got your answe

AB =  
BC =  
?=

Please show your work/explain how you got your answer!

Solution

given =25^o,B=90^o

sum of angles in triangle =180degrees

++B=180^o

+25^o+90^o=180^o

=65^o

by law of sines

AC/sinB= AB/sin=BC/sin

2/sin90^o= AB/sin25^o=BC/sin65^o

2/1= AB/sin25^o=BC/sin65^o

2= AB/sin25^o=BC/sin65^o

2= AB/sin25^o

AB=2sin25^o

AB=0.845

BC/sin65^o=2

BC=2sin65^o

BC=1.813