10-02-2022
Mathematics

contestada

In triangle RST, TU bisects angle T. If U is a point on RS, RU = 6,
RT = 9, and ST = 12, find RS.

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evgeniylevi evgeniylevi

10-02-2022

Answer:

14.

Step-by-step explanation:

1. RS=RU+US, - US is unknown yet;

2. the property of bisector is:

RU/US=RT/ST;

3. according to the property above:

US=RU*ST/RT; US=12*6/9=8;

4. RS=RU+US; ⇒ RS=6+8=14.

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