To address your questions, let's go step-by-step.
For Question 1, since the graphical representation is not provided, I'll guide you on how to label the parts of a triangle based on common notation:
- Typically, points are labeled with capital letters (e.g., A, B, C).
- Sides opposite to each vertex are usually labeled with lowercase letters that correspond to the opposite vertex (e.g., side opposite point A is labeled as a, the side opposite point B as b, and the side opposite point C as c).
- The segments connecting the points are often noted as segments (for example, AB, AC, and BC).
Now, for Question 2, to find AC given that CE = 101 and AE = 99, it appears you are possibly dealing with a right triangle where E is the right angle. Using the Pythagorean theorem, the correct equation to find AC would be:
\[ AE^2 + CE^2 = AC^2 \]
This translates to the equation:
\[ 99^2 + 101^2 = AC^2 \]
So the best option from your responses is:
- \( 99^2 + 101^2 = x^2 \)
Where \( x \) represents AC.
For Question 3, we compute AC using the values provided:
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Calculate \( 99^2 \) and \( 101^2 \):
- \( 99^2 = 9801 \)
- \( 101^2 = 10201 \)
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Add these two values together:
- \( 9801 + 10201 = 20002 \)
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Take the square root to solve for AC:
- \( AC = \sqrt{20002} \)
Calculating this numerically:
- \( AC \approx 141.42 \) (This is a rough approximation; you can use a calculator for more precision.)
Thus, you would conclude with:
- AC ≈ 141.42 (answer for Question 3).
If you have any additional specifics or constraints to clarify in your situation concerning the triangle, please provide that information!