Question

Carolina leaves her house and walks 6 blocks she turns and heads east 8 blocks until she reaches matties house what is the shortest distance between Carolinas house and matties house

Answer 1

10 blocks

Explanation:

Given

`First = 6\ blocks`

`Second = 8\ blocks` east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

`x^2 = 6^2 + 8^2`

`x^2 = 36 + 64`

`x^2 =100`

Take positive square root of both sides

`x = \sqrt{ 100`

`x = 10`