the diagonal of a square is 50 cm long. how long are thesidesof the square
The diagonal is the hypotenuese of a Right Triangle, so use the Pythagorean Theorom
a^2 + b^2 = c^2
Since it is a square a = b
so a^2 + a^2 = 50^2
2a^2 = 2500
a^2 =1250
a = 35.355 cm = lenght of a side
Sin(45)=Opp/Hypotenuse
.707107=Opp/50
Opp=50 X .707107=35.355cm, the sides of the square.
