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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...........
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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Askiitians Expert
Chetan Mandayam Nayakar – IIT Madras
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
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
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