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piyush narang Grade: 12
        

In a triangle, length of 2 larger sides is 24 & 22 resp.. if angle r in AP, then 3rd side is.........................


Also give reason behind choice of sides...........

6 years ago

Answers : (3)

Chetan Mandayam Nayakar
312 Points
										

 


Dear Piyush, 


the angle opposite 22 is 60 degrees. Let third side be x,


from cosine law, 222=x2+242 -2*24*x*cos(60)


x2-24x+92=0


x=12±√52=12±2√13


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Chetan Mandayam Nayakar – IIT Madras  

6 years ago
vikas askiitian expert
510 Points
										

let ABC be the triangle...


angles are in ap so 2B=A+C...........1


                          A+C=90-B..........2


         from 1 and 2


B=60 and so A and C can be 30 and 90


 now draw a triangle ABC right angled at C


    AB is the hypotenuse therefore AB=24


let the other sides be 22 and x


 now 24^2 =22^2 +x^2


         X=+-2sqrt23

6 years ago
Surya Anuraag Duvvuri
39 Points
										

te angle opposite to 22 is 60 degrees,let the third side be a


now from cos rule 22^2=x^2+24^2-2*x*24 Cos60


                 x^2-24x+92=0


       x = 12+-rt52=12+-2rt13

6 years ago
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