If CE = 101 and AE = 99, what is the correct equation to find AC?(1 point)

Question

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 =

Answer 1

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.