Respuesta :

nerdgirlresponding
To solve this, you must know what the Pythagorean Theorem is. 
Here's a crash course: any length of a side (a) squared plus the other side of a triangle (b) squared is equal to the long side (c) squared. This also works if you're trying to find the length of the diagonal of a square. 

So, if Mara ran 3 km north then 4 km east, you would come out with the equation:

3^2+4^2=c^2

Solve using order of operations. 

3^2+4^2=c^2
9+16=c^2
25=c^2
5=c

This is the length of the run directly home. To get the total distance run, just add up all the sides of her triangle-shaped run. 

3+4+5=12

She ran 12 km. 

Hope this helps!

The total distance of her run is 12 Km and this can be determined by using the Pythagorean theorem.

Given :

  • Mara ran 3 km north and then 4 km east.
  • Mara will finish her run by running directly home.

The following steps can be used in order to determine the total distance of Mara run:

Step 1 - The Pythagorean theorem can be used in order to determine the total distance of her run.

Step 2 - The Pythagorean theorem is given below:

[tex]\rm H^2 = P^2+B^2[/tex]

where H is the hypotenuse, B is the base, and P is the perpendicular.

Step 3 - Now, substitute the values of the known terms in the above expression.

[tex]\rm H^2 = (3)^2+(4)^2[/tex]

H = 5 Km

Step 4 - So, the total distance of Mara run is given below:

Total distance = 5 + 4 + 3 = 12 Km

For more information, refer to the link given below:

https://brainly.com/question/21149612

Otras preguntas

Q&A Education