To solve this problem, we can use the Pythagorean theorem because it forms a right triangle. The theorem states that in a right-angled 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 lengths of the other two sides. This can be written as: a² + b² = c².

Here, Seth's position forms one side of the triangle (12 meters), and Hanson's position forms the other side (16 meters). We want to find the hypotenuse, which is the distance between Seth and Hanson.

Step 1: Square the lengths of the two sides:
12² = 144,
16² = 256.

Step 2: Add these two values together:
144 + 256 = 400.

Step 3: Find the square root of the sum (which will give us the length of the hypotenuse):
The square root of 400 is 20.

So, Seth and Hanson are 20 meters apart.

Question

To solve this problem, we can use the Pythagorean theorem because it forms a right triangle. The theorem states that in a right-angled 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 lengths of the other two sides. This can be written as: a² + b² = c².

Here, Seth's position forms one side of the triangle (12 meters), and Hanson's position forms the other side (16 meters). We want to find the hypotenuse, which is the distance between Seth and Hanson.

Step 1: Square the lengths of the two sides:
12² = 144,
16² = 256.

Step 2: Add these two values together:
144 + 256 = 400.

Step 3: Find the square root of the sum (which will give us the length of the hypotenuse):
The square root of 400 is 20.

So, Seth and Hanson are 20 meters apart.

Knowee AI · Accepted Answer

To solve this problem, we can use the Pythagorean theorem because it forms a right triangle. The theorem states that in a right-angled 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 lengths of the other two sides. This can be written as: a² + b² = c².

Here, Seth's position forms one side of the triangle (12 meters), and Hanson's position forms the other side (16 meters). We want to find the hypotenuse, which is the distance between Seth and Hanson.

Step 1: Square the lengths of the two sides:
12² = 144,
16² = 256.

Step 2: Add these two values together:
144 + 256 = 400.

Step 3: Find the square root of the sum (which will give us the length of the hypotenuse):
The square root of 400 is 20.

So, Seth and Hanson are 20 meters apart.

orWatch a videoJudith is deep-sea diving with two friends. Seth is floating on the surface 12 meters above Judith, and Hanson is exploring a coral reef 16 meters in front of Judith. How far apart are Seth and Hanson? meters

Question

Solution

Similar Questions

Upgrade your grade with Knowee