Question

11) Help pls I have the answer I just need to show the work.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

Answer: A

Answer 1

True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!