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

Respuesta :

Answer:

10 blocks

Step-by-step explanation:

Given

[tex]First = 6\ blocks[/tex]

[tex]Second = 8\ blocks[/tex] 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:

[tex]x^2 = 6^2 + 8^2[/tex]

[tex]x^2 = 36 + 64[/tex]

[tex]x^2 =100[/tex]

Take positive square root of both sides

[tex]x = \sqrt{ 100[/tex]

[tex]x = 10[/tex]

Ver imagen MrRoyal