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Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say 鈥淣o triangle.鈥

A=100,a=5,c=2

Short Answer

Expert verified

No triangle exists

Step by step solution

01

Step 1. Given information   

The given data from the graph isA=100,a=5,c=2

02

Step 2. Find angle C

Applying the law of sines

sinAa=sinBb=sinCcsin1005=sinBb=sinC2sin1005=sinC2sinC=2sin1005sinC=0.39C=23.2

03

Step 3. Find angle b

By Pythagoras theorem, c2=a2+b2

c2=a2+b24=25+b2b2=-21b=-21

Which is not possible

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