The length of a rectangle exceeds its width by 2 cm. If its diagonal is 10 cm long, find the width of the rectangle.
+1223 width = x
length = x + 2
Use the Pythagorean Theorem.
x2+(x+2)2=102
2x2+4x+4=100
x2+2x+2=50
(x+8)(x−6)=0
Distance can't be negative, so the width is 6 centimeters.
