Question

Noam walks home from school by walking 8 blocks north and then 6 blocks east. how much shorter would his walk be if there were a direct path from the school to his house? assume that the blocks are square.

Answer 1

Answer:

10 blocks

Step-by-step explanation:

Noam walks home from school by walking towards North= 8 blocks

Noam walks home from school by walking towards East= 6 blocks

we have to find the shortest path or a direct path from school to his house

We can find it by using Pythagoras theorem,

Hence, shortest or direct path from school to his house=$\sqrt{(6^{2} ) +8^{2} }$

Hence, shortest or direct path from school to his house= $\sqrt{64+36}$

Hence, shortest or direct path from school to his house=$\sqrt{100}$ blocks

Hence, shortest or direct path from school to his house=10 blocks

Answer 2

The distance he travels is 6+8=14 blocks. the straight line distance is the hypotenuse of a right triangle with legs 8 and 6.
6²+8³=c²
36+64=c²
100=c²
c= √100 = 10 blocks.