Asked by pickles
If CE = 101 and AE = 99, what is the correct equation to find AC?(1 point)
992+x2 = 1012
992+x2 = 1012
99+101=x
99 plus 101 is equal to x
99+x = 101
99+x = 101
992+1012=x2
99 squared plus 101 squared is equal to x squared
Question 3
Find AC(1 point)
AC =
992+x2 = 1012
992+x2 = 1012
99+101=x
99 plus 101 is equal to x
99+x = 101
99+x = 101
992+1012=x2
99 squared plus 101 squared is equal to x squared
Question 3
Find AC(1 point)
AC =
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the length of AC given CE = 101 and AE = 99, we can use the Pythagorean theorem if we are dealing with a right triangle (assuming C and E are points on the triangle as corners).
If the triangle is right-angled at A, then you can set up the equation as follows:
Using the notation:
- AC = x (the length we want to find)
- AE = 99 (one side)
- CE = 101 (the other side)
The equation according to the Pythagorean theorem would be:
\[ AC^2 + AE^2 = CE^2 \]
\[ x^2 + 99^2 = 101^2 \]
Expanding this gives:
\[ x^2 + 9801 = 10201 \]
To solve for x^2:
\[ x^2 = 10201 - 9801 \]
\[ x^2 = 400 \]
Now taking the square root:
\[ x = \sqrt{400} \]
\[ x = 20 \]
Thus, AC = 20.
To summarize, if you are looking for AC based on the given lengths:
**AC = 20.**
If the triangle is right-angled at A, then you can set up the equation as follows:
Using the notation:
- AC = x (the length we want to find)
- AE = 99 (one side)
- CE = 101 (the other side)
The equation according to the Pythagorean theorem would be:
\[ AC^2 + AE^2 = CE^2 \]
\[ x^2 + 99^2 = 101^2 \]
Expanding this gives:
\[ x^2 + 9801 = 10201 \]
To solve for x^2:
\[ x^2 = 10201 - 9801 \]
\[ x^2 = 400 \]
Now taking the square root:
\[ x = \sqrt{400} \]
\[ x = 20 \]
Thus, AC = 20.
To summarize, if you are looking for AC based on the given lengths:
**AC = 20.**
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