Question

Line segment AD= 11 + 10.6. Find the length of AB and CD

line segment AB is 2x+3

Line segment CD is 7x+5

Line segment BC is 21

Answer 1

AB2 = (-11 + 2 )2 + (-3 - 5)2 = 81 + 64

CD2 = (7 - x )2 + (1 - 9)2 = (7 - x )2 + 64

Since AB2 = CD2, we have 81 = (7 - x )2; solve the equation, we have x = -2 or 16.