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Chapter 8: Q.12 (page 553)

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=3,b=5,B=80

Short Answer

Expert verified

The values area=3b=5c=4.55A=36.2B=80C=63.8

Step by step solution

01

Step 1.  Given information  

The given data isa=3,b=5,B=80

02

Step 2. Find the angle A

Use the Law of Sines, sinAa=SinBb=SinCc

Here, a=3,b=5,B=80

sinAa=SinBb=SinCcsinA3=Sin805sinA=3*Sin805sinA=0.59A=36.2

03

Step 3. Find the angle C

Since the angle A,B, and c are the angel of a triangle,

A+B+C=18036.2+80+C=180C=63.8

04

.Find the side c

Use the Law of Sines sinAa=SinBb=SinCc

Here,role="math" localid="1647084215797" a=3,b=5,A=36.2,C=63.8sinAa=SinBb=SinCcsin36.23=Sin63.8cc=4.55

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Most popular questions from this chapter

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

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In the given problem solve the triangle using either the law of sines or law of cosines- a=4,c=5,B=55掳

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