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How long is the base, round to 2 decimal points and don't round until you get the answer

To solve the problem and find the length of the base of the ramp, we can apply the Pythagorean theorem. The problem involves a right triangle where:

- The hypotenuse (\(c\)) is 2.2 meters,
- The height (\(a\)) is 0.35 meters,
- The base (\(b\)) is what we're trying to find.

According to the Pythagorean theorem:

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

Substituting the given values:

\[
2.2^2 = 0.35^2 + b^2
\]

Now, let's solve for \(b\):

\[
b^2 = 2.2^2 - 0.35^2
\]

\[
b = \sqrt{2.2^2 - 0.35^2}
\]

I'll calculate this to give you the precise length of the base rounded to two decimal points.The length of the base of the ramp is approximately **2.17 meters** when rounded to two decimal points.

Would you like more details or have any questions about this calculation?

Here are some related questions you might find interesting:
1. How do you calculate the angle of elevation of the ramp?
2. What would be the base length if the height were increased to 0.5 meters?
3. How does changing the hypotenuse affect the base and height of a right triangle?
4. Can the Pythagorean theorem be applied in non-Euclidean geometry?
5. What is the relationship between the area of a right triangle and its base and height?

**Tip:** When working with the Pythagorean theorem, ensure that all measurements are in the same units before performing any calculations.

Learn how to calculate the length of the base of a ramp using the Pythagorean theorem. Given the hypotenuse and height of a right triangle, find the base length accurately rounded to two decimal points. Suitable for high school students studying geometry and algebra.

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