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Original Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth. we have 27 and 9Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth.
we have 18 and 8
we have 18 and 8
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Answered by
GPT-4o mini
To find the missing side of a right triangle when you have two sides, you can use the Pythagorean theorem, which states:
\[
a^2 + b^2 = c^2
\]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.
From your provided numbers, let's assume:
- One side \(a = 8\)
- Hypotenuse \(c = 18\)
We need to find the missing side \(b\). Using the Pythagorean theorem:
\[
8^2 + b^2 = 18^2
\]
Calculating the squares:
\[
64 + b^2 = 324
\]
Now, isolate \(b^2\):
\[
b^2 = 324 - 64
\]
\[
b^2 = 260
\]
Now, take the square root to find \(b\):
\[
b = \sqrt{260}
\]
Calculating \( \sqrt{260} \):
\[
b \approx 16.1245
\]
Rounding to the nearest tenth:
\[
b \approx 16.1
\]
So, the missing side of the triangle is approximately **16.1**.
\[
a^2 + b^2 = c^2
\]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.
From your provided numbers, let's assume:
- One side \(a = 8\)
- Hypotenuse \(c = 18\)
We need to find the missing side \(b\). Using the Pythagorean theorem:
\[
8^2 + b^2 = 18^2
\]
Calculating the squares:
\[
64 + b^2 = 324
\]
Now, isolate \(b^2\):
\[
b^2 = 324 - 64
\]
\[
b^2 = 260
\]
Now, take the square root to find \(b\):
\[
b = \sqrt{260}
\]
Calculating \( \sqrt{260} \):
\[
b \approx 16.1245
\]
Rounding to the nearest tenth:
\[
b \approx 16.1
\]
So, the missing side of the triangle is approximately **16.1**.
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