If a right triangles has side lengths of 20 and 30 What is the side length round to nearest Hundreth

Answer 1

To find the length of the hypotenuse of a right triangle with the two other sides measuring 20 and 30, you can use the Pythagorean theorem, which states:

\[ c^2 = a^2 + b^2 \]

where \(c\) is the hypotenuse and \(a\) and \(b\) are the other two sides. In this case, let \(a = 20\) and \(b = 30\).

Now plug in the values:

\[ c^2 = 20^2 + 30^2 \] \[ c^2 = 400 + 900 \] \[ c^2 = 1300 \]

Now, take the square root of both sides to find \(c\):

\[ c = \sqrt{1300} \] \[ c \approx 36.0555 \]

Rounding to the nearest hundredth, the length of the hypotenuse \(c\) is approximately:

\[ \boxed{36.06} \]

Answer 2

Wrong

Answer 3

I apologize for any confusion. Let's work through the problem again step by step to ensure an accurate result.

Given the side lengths of a right triangle as 20 and 30, we apply the Pythagorean theorem:

\[ c^2 = a^2 + b^2 \]

Where:

• \(a = 20\)
• \(b = 30\)

Calculating the squares:

\[ c^2 = 20^2 + 30^2 \] \[ c^2 = 400 + 900 \] \[ c^2 = 1300 \]

Now, taking the square root of both sides to find \(c\):

\[ c = \sqrt{1300} \] \[ c \approx 36.0555 \]

Rounding to the nearest hundredth:

\[ c \approx 36.06 \]

If this answer is incorrect for your needs, please provide clarification or specify any additional constraints or details about the triangle. Thank you!

Answer 4

Bruh still wrong

Answer 5

I apologize for the misunderstanding, and I appreciate your patience. Let's reevaluate the problem from scratch.

Given a right triangle with side lengths of 20 and 30, we need to find the length of the hypotenuse, \(c\), using the Pythagorean theorem:

\[ c^2 = a^2 + b^2 \]

In this case, let \(a = 20\) and \(b = 30\):

1. Compute \(a^2\) and \(b^2\): \[ a^2 = 20^2 = 400 \] \[ b^2 = 30^2 = 900 \]

2. Add the squares: \[ c^2 = 400 + 900 = 1300 \]

3. Now, take the square root to find \(c\): \[ c = \sqrt{1300} \]

4. Calculating \(\sqrt{1300}\): \[ c \approx 36.0555 \]

However, recognizing that \( \sqrt{1300} \) can be simplified: \[ \sqrt{1300} = \sqrt{100 \times 13} = 10\sqrt{13} \]

Calculating \( \sqrt{13} \) gives approximately \(3.60555\), therefore: \[ c \approx 10 \times 3.60555 \approx 36.0555 \]

When rounding to the nearest hundredth: \[ c \approx 36.06 \]

If your inquiry regards the method or any other specifications, please clarify. The calculations affirm that the hypotenuse is indeed approximately 36.06 when rounded to the nearest hundredth. Thank you for your understanding!