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91Ó°ÊÓ

In the given problem solve the triangle using either the law of sines or law of cosines-

a=14,b=7,A=85°

Short Answer

Expert verified

Required values of the triangle are

B=29.66°,C=65.34°,c≈12.74

Step by step solution

01

Step 1. Given information

In the given triangle,

a=14,b=7,A=85°

We know Law of sines,

sinAa=sinBb=sinCc

02

Step 2. Calculation

For B,

sinAa=sinBb⇒sin85°14=sinB7⇒sinB=0.9914×7⇒sinB=0.495⇒B=sin-1(0.495)⇒B=29.66°

For C,

C=180°-85°-29.66°⇒C=65.34°

For c,

sinAa=sinCc⇒sin85°14=sin65.34c⇒c=0.910.99×14⇒c≈12.74

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