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.

In this case, the length of one wall is 4 metres (this can be 'a'), the length of the diagonal is 6 metres (this is the hypotenuse, or 'c'), and we are trying to find the length of the other wall ('b').

So, we can set up the equation as follows:

4² + b² = 6²

Solving for 'b' gives us:

b² = 6² - 4²
b² = 36 - 16
b² = 20

Taking the square root of both sides to solve for 'b' gives us:

b = √20 ≈ 4.47 metres

So, the length of the other wall is approximately 4.5 metres when rounded to the nearest tenth.

Question

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.

In this case, the length of one wall is 4 metres (this can be 'a'), the length of the diagonal is 6 metres (this is the hypotenuse, or 'c'), and we are trying to find the length of the other wall ('b').

So, we can set up the equation as follows:

4² + b² = 6²

Solving for 'b' gives us:

b² = 6² - 4²
b² = 36 - 16
b² = 20

Taking the square root of both sides to solve for 'b' gives us:

b = √20 ≈ 4.47 metres

So, the length of the other wall is approximately 4.5 metres when rounded to the nearest tenth.

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.

In this case, the length of one wall is 4 metres (this can be 'a'), the length of the diagonal is 6 metres (this is the hypotenuse, or 'c'), and we are trying to find the length of the other wall ('b').

So, we can set up the equation as follows:

4² + b² = 6²

Solving for 'b' gives us:

b² = 6² - 4²
b² = 36 - 16
b² = 20

Taking the square root of both sides to solve for 'b' gives us:

b = √20 ≈ 4.47 metres

So, the length of the other wall is approximately 4.5 metres when rounded to the nearest tenth.

Naomi's bedroom is rectangular. The length of one wall of Naomi's bedroom is 4 metres. The length from one corner of the bedroom to the diagonally opposite corner is 6 metres. What is the length of the other wall? If necessary, round to the nearest tenth.

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