Jack leaves from
school and goes 4 miles
north and 3 miles east to reach his home. How far is his home from school?

Respuesta :

Answer:

It would be 7 miles away.

Step-by-step explanation:

I think.

Jack's home is 5 miles away from the school.

Important information:

  • Jack goes 4 miles north and 3 miles east to reach his home.

Pythagoras Theorem:

According to the Pythagoras Theorem:

[tex]\text{Hypotenuse}^2=\text{Perpendicular}^2+\text{Base}^2[/tex]

Jack goes 4 miles north and 3 miles east. It forms a right triangle with legs 4 miles and 3 miles, and we have to find the hypotenuse to get the distance between his school and home.

Using the Pythagoras Theorem, we get

[tex]\text{Hypotenuse}^2=(3)^2+(4)^2[/tex]

[tex]\text{Hypotenuse}^2=9+16[/tex]

[tex]\text{Hypotenuse}=\sqrt{25}[/tex]

[tex]\text{Hypotenuse}=5[/tex]

Therefore, Jack's home is 5 miles away from the school.

Find out more about 'Pythagoras Theorem' here:

https://brainly.com/question/343682

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