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Chapter 8: Q.7 (page 553)

Solve each triangle.

Short Answer

Expert verified

The value ofA=66.5B=23.5a=4.58

Step by step solution

01

Step 1. Given information 

The given data from the graph isb=2c=5

02

Step 2. Find angle B

Applying the law of sins we get sinAa=sinBb=sinCcsinB2=sin905sinB=25=0.4B=23.5鈭�

03

Step 3. Find the angle A

we know sums of all the angles is 180

ThenA+90+23.5=180A=180-113.5A=66.5

04

Step 4. Find the length of side a

By applying law of sines we getsinAa=sinBb=sinCcsin66.5a=sin23.52=sin905sin66.5a=sin905sin66.5a=15a=5sin66.5a=4.58

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