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What is the length of PC¯¯¯¯¯?

Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth

heres the image:
https://static.k12.com/nextgen_media/assets/8093696-NG_GMT_SemB_10_UT_04.png

PLSSS HELP!

Respuesta :

carlosego
1. To solve this problem you must apply the Tangent Secant Theorem, as below:

 PC²=DPxBP

 2. You want to find the value of PC, so:

 PC=√(DPxBP)

 DP=DB+BP
 DP=52 cm+4 cm
 DP=56 cm

 BP=4 cm

3. When you substitute the values of DP and BP into PC=√(DPxBP), you obtain:

 PC=√(56 cmx4cm)
 PC=√(224 cm²)

4. Then the lenght of PC is:

 PC=14.97 cm
miguelturner

Answer:

14.97 is the right answer.

Step-by-step explanation:

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