Question

To walk to her friends house, Julie normally walks 63 yards north and 16 yards east as shown. How many yards shorter would it be if Julie took the diagonal shortcut, x?

Answer 1

Answer:

14

Step-by-step explanation:

Length of the diagonal will be (by Pythagoras Theorem):-

$x^{2} = 16^{2} + 63^{2}\\x^{2} = 256 + 3969\\x^{2} = 4225\\x = 65$

Length of the actual path is 63 + 16 = 79

The new path is shorter by: 79 - 65 = 14

Answer 2

if julie tooks a diagonal shortcut its 14 yards