Mike rides his bike 33 km south and then 56 km west. How far is the shortest distance from his starting point?

33^2 + 56^2 = C^2
1,089 + 3,136 = C^2
4,225 km = C^2
C^2 = SQRT of 4,225 km or 65 km

Ndjjejejnen

I agree.

To find the shortest distance from Mike's starting point, we can use the Pythagorean theorem.

Let's denote the distance south as "a" and the distance west as "b".

Using the given information, we have:
a = 33 km
b = 56 km

According to the Pythagorean theorem, the square of the hypotenuse (the shortest distance from the starting point) is equal to the sum of the squares of the other two sides.

So, we have:
a^2 + b^2 = c^2

Substituting the given values:
33^2 + 56^2 = c^2
1,089 + 3,136 = c^2
4,225 = c^2

To find the value of c, take the square root of both sides:
c = √4,225 km

Evaluating the square root:
c = 65 km

Therefore, the shortest distance from Mike's starting point is 65 km.

To find the shortest distance from Mike's starting point after riding south and then west, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the south side distance is 33 km and the west side distance is 56 km.

To find the shortest distance, we need to find the length of the hypotenuse of the right triangle. So, we square the lengths of the two sides, then sum them together.

33^2 + 56^2 = C^2 (where C represents the length of the hypotenuse)

33^2 = 1,089 km^2
56^2 = 3,136 km^2

Now, add these two values together:
1,089 km^2 + 3,136 km^2 = 4,225 km^2

We now need to find the square root of 4,225 km^2 to find the length of the hypotenuse:
C^2 = square root of 4,225 km^2 = 65 km

Therefore, the shortest distance from Mike's starting point is 65 km.