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Chapter 8: Q. 14 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isC=165掳,a鈮�3.4,b鈮�1.7.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180掳

10掳+5掳+C=180掳

C=165掳

Now use Law of Sines -

role="math" localid="1646916219249" sinAa=sinCc and role="math" localid="1646916231339" sinBb=sinCc

sin10掳a=sin165掳5 sin5掳b=sin165掳5

5sin10掳sin165掳=a 5sin5掳sin165掳=b

role="math" localid="1646916512638" 3.4鈮�a 1.7鈮�b

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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:

a=5.T=2seconds

Find the area of the triangle. Round answer to two decimal places.

A=70掳,B=60掳,c=4

Area of a Segment Find the area of the segment of a circle whose radius is 5 inches, formed by a central angle of 40掳.

Circumscribing a TriangleShow that sinAa=sinBb=sinCc=12r

where ris the radius of the circle circumscribing the triangle PQR whose sides are a, b, and c, as shown in the figure.

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

A=65掳,B=72掳,b=7
See all solutions

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