Question

Ashton left his house and ran 4 miles east and 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did he burn on his run?........Pythagorean theorem

Answer 1

Total calories Ashton burns running = 1260 calories

Explanation:

Given:

Ashton ran 4 miles east, 3 miles north and then tool diagonal path back home.

Calories he burned every mile = 105

To find the total calories he burned on his run.

Solution:

On tracing the path ran by Ashton, we find that it forms right triangle as shown in figure.

The legs of the triangle are 4 miles and 3 miles. We can find the hypotenuse using Pythagorean theorem.

By Pythagorean theorem:

`Hypotenuse^2=Leg1^2+Leg2^2`

Plugging in the leg values given.

`Hypotenuse^2=4^2+3^2`

`Hypotenuse^2=16+9`

`Hypotenuse^2=25`

Taking square root both sides:

`√(Hypotenuse^2)=√(25)`

`Hypotenuse=5` miles

Total distance ran by Ashotn can be calculated by summing up the length of each side of the triangle.

Total distance run by Ashton =
`3+4+5=12\ miles`

Using unitary method to find the total calories burned.

If 1 mile run burns = 105 calories

Then 12 miles run will burn =
`12* 105 = 1260\ miles`

Thus, total calories Ashton burns running = 1260 calories