in triangle abc, angle b=45 degree, anglec=45degree, a b = 5 cm then find the length of the other sides.



  In ABC, we haveB = C = 45°AC = AB sides opposite to equal angles are equalAC = 5 cmNow, BC2 = AB2 + AC2BC2 = 52 + 52BC2 = 25 + 25BC2 = 50BC = 52 cm

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angleb =450,angle c=450.
by using angle sum property, we get angle a=900.
ab=ac=5 cm (angles opposite to equal sides)
on applying trigonometry,
cos45=1/rt.2.=ab/bc=5/ac
ac=5 rt.2 cm.
it could also be solved with pythagoras theorem.
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