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For the triangle shown below, correctly label the sides(3 points)

Drop target 1
Drop target 2
Drop target 3
Question 2
If CE = 29 and AC = 20, which of the following equations can be used to find AE?(2 points)
Responses

202+292=x2
20 squared plus 29 squared is equal to x squared

202+x2=292
20 squared plus x squared is equal to 29 squared

20+29=x
20 plus 29 is equal to x

20+x=29

1 answer

To help with your question, it seems like you're looking for answers to two parts.

  1. Labeling the sides of the triangle: Unfortunately, I can't see the triangle you're referencing. However, in a triangle, the sides are typically labeled as follows:

    • The side opposite angle A is labeled as a.
    • The side opposite angle B is labeled as b.
    • The side opposite angle C is labeled as c.

  2. Finding AE given CE = 29 and AC = 20: Based on the information provided, you can employ the Pythagorean theorem if the triangle is a right triangle. In this case, if we consider that:

    • AC (20) is one leg of the triangle,
    • CE (29) is the other leg,

Then you would use the Pythagorean theorem, which states that \(a^2 + b^2 = c^2\).

In your options:

  • The correct equation to find AE would be \(20^2 + AE^2 = 29^2\), which corresponds to the second response you listed:

20² + x² = 29² (20 squared plus x squared is equal to 29 squared)

This equation can be rearranged to find AE (where AE = x). So, that would be the correct equation to use in this scenario.

Please let me know if there is anything else you'd like to clarify or need help with!