Question

(I already did the first half, the Pythagorean theorem part, and the rest is easy I know that for a fact but I don't know how to do it.)

Find CU. If necessary, round answers to 4 decimal places Show all your work for full credit. Hint: Use the Pythagorean Theorem first.

Answer 1

Answer:

3

Step-by-step explanation:

You'll need to use the Angle Bisector Theorem.

CU / ZU = BC / BZ

From the first part of the problem, you used Pythagorean theorem to find that BZ = 10.

Let's say that CU = x.  That means ZU = 8 − x.  Plugging in values:

x / (8 − x) = 6 / 10

Cross multiply:

10x = 6(8 − x)

Solve:

10x = 48 − 6x

16x = 48

x = 3