This problem can be solved using the Pythagorean theorem, which 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 lengths of the other two sides.

Here, we can imagine a right triangle where Dominic, Neil, and Lily are the vertices. Dominic and Lily form one side of the triangle, Dominic and Neil form another side, and Neil and Lily form the hypotenuse.

1. We know that Dominic and Lily are 4 meters apart, so one side of the triangle is 4 meters.

2. We also know that Lily and Neil are 5 meters apart, so the hypotenuse of the triangle is 5 meters.

3. We want to find out how far Dominic and Neil are apart, which is the other side of the triangle.

According to the Pythagorean theorem, the square of the hypotenuse (5^2) is equal to the sum of the squares of the other two sides (4^2 + x^2), where x is the distance between Dominic and Neil.

So, we have:

5^2 = 4^2 + x^2
25 = 16 + x^2
25 - 16 = x^2
9 = x^2

Taking the square root of both sides, we get:

x = 3

So, Dominic and Neil are 3 meters apart.

Question

This problem can be solved using the Pythagorean theorem, which 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 lengths of the other two sides.

Here, we can imagine a right triangle where Dominic, Neil, and Lily are the vertices. Dominic and Lily form one side of the triangle, Dominic and Neil form another side, and Neil and Lily form the hypotenuse.

1. We know that Dominic and Lily are 4 meters apart, so one side of the triangle is 4 meters.

2. We also know that Lily and Neil are 5 meters apart, so the hypotenuse of the triangle is 5 meters.

3. We want to find out how far Dominic and Neil are apart, which is the other side of the triangle.

According to the Pythagorean theorem, the square of the hypotenuse (5^2) is equal to the sum of the squares of the other two sides (4^2 + x^2), where x is the distance between Dominic and Neil.

So, we have:

5^2 = 4^2 + x^2
25 = 16 + x^2
25 - 16 = x^2
9 = x^2

Taking the square root of both sides, we get:

x = 3

So, Dominic and Neil are 3 meters apart.

Knowee AI · Accepted Answer

This problem can be solved using the Pythagorean theorem, which 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 lengths of the other two sides.

Here, we can imagine a right triangle where Dominic, Neil, and Lily are the vertices. Dominic and Lily form one side of the triangle, Dominic and Neil form another side, and Neil and Lily form the hypotenuse.

1. We know that Dominic and Lily are 4 meters apart, so one side of the triangle is 4 meters.

2. We also know that Lily and Neil are 5 meters apart, so the hypotenuse of the triangle is 5 meters.

3. We want to find out how far Dominic and Neil are apart, which is the other side of the triangle.

According to the Pythagorean theorem, the square of the hypotenuse (5^2) is equal to the sum of the squares of the other two sides (4^2 + x^2), where x is the distance between Dominic and Neil.

So, we have:

5^2 = 4^2 + x^2
25 = 16 + x^2
25 - 16 = x^2
9 = x^2

Taking the square root of both sides, we get:

x = 3

So, Dominic and Neil are 3 meters apart.

Three baseball players are playing catch. Dominic is directly south of Neil and directly west of Lily. Dominic and Lily are 4 meters apart and Lily and Neil are 5 meters apart. How far apart are Dominic and Neil?

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