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Chapter 8: Q.25 (page 553)

Find the area of each triangle.A=50,B=30,a=1

Short Answer

Expert verified

The area of the triangle is0.32squareunit

Step by step solution

01

Step 1.  Given information    

The given data isA=50,B=30,a=1

02

Step 2. Find the length of sides of b

Using Law of Sines, sinAa=sinBb=sinCc

here. A=50,B=30,a=1

sinAa=sinBb=sinCcsin501=sin30bb=sin30sin50b=0.65

03

Step 3. Find the angle C

Since the angle A,B,C are the angles of a triangle,

A+B+C=18050+30+C=180C=180-80C=100

04

Step 4. Find the area of the triangle,

The area of the triangle isk=12absinCk=121脳0.65脳sin100k=0.32

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