To solve this problem, we can use 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. This can be written as: a² + b² = c².

Here, the distance from Addison's home to Lakeside represents one side of the triangle (5.4 miles), and the distance from her home to Allenville represents the other side (5.1 miles). We're trying to find the distance between Lakeside and Allenville, which is the hypotenuse of the triangle.

Step 1: Square the lengths of the two sides:
5.4² = 29.16
5.1² = 26.01

Step 2: Add these two numbers together:
29.16 + 26.01 = 55.17

Step 3: Take the square root of this sum to find the length of the hypotenuse:
√55.17 = 7.43

So, Lakeside and Allenville are approximately 7.4 miles apart, measured in a straight line.

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To solve this problem, we can use 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. This can be written as: a² + b² = c².

Here, the distance from Addison's home to Lakeside represents one side of the triangle (5.4 miles), and the distance from her home to Allenville represents the other side (5.1 miles). We're trying to find the distance between Lakeside and Allenville, which is the hypotenuse of the triangle.

Step 1: Square the lengths of the two sides:
5.4² = 29.16
5.1² = 26.01

Step 2: Add these two numbers together:
29.16 + 26.01 = 55.17

Step 3: Take the square root of this sum to find the length of the hypotenuse:
√55.17 = 7.43

So, Lakeside and Allenville are approximately 7.4 miles apart, measured in a straight line.

Knowee AI · Accepted Answer

To solve this problem, we can use 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. This can be written as: a² + b² = c².

Here, the distance from Addison's home to Lakeside represents one side of the triangle (5.4 miles), and the distance from her home to Allenville represents the other side (5.1 miles). We're trying to find the distance between Lakeside and Allenville, which is the hypotenuse of the triangle.

Step 1: Square the lengths of the two sides:
5.4² = 29.16
5.1² = 26.01

Step 2: Add these two numbers together:
29.16 + 26.01 = 55.17

Step 3: Take the square root of this sum to find the length of the hypotenuse:
√55.17 = 7.43

So, Lakeside and Allenville are approximately 7.4 miles apart, measured in a straight line.

Whenever she visits Lakeside, Addison has to drive 5.4 miles due north from home. Whenever she visits Allenville, she has to drive 5.1 miles due east from home. How far apart are Lakeside and Allenville, measured in a straight line? If necessary, round to the nearest tenth.

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