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91Ó°ÊÓ

Solve each triangle.

Short Answer

Expert verified

The solution isA=25°,a≈8.5,c≈16.4

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180°

A+30°+125°=180°

A=25°

Now use Law of Sines -

role="math" localid="1646915361354" sinAa=sinBb and role="math" localid="1646915377314" sinBb=sinCc

sin25°a=sin30°10 sin30°10=sin125°c

10sin25°sin30°=a c=10sin125°sin30°

8.5≈a c≈16.4

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