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

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.

Answer 2

10 blocks

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=
`√(64+36)`

Hence, shortest or direct path from school to his house=
`√(100)` blocks

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