if perimeter of triangle is given by 3 x minus y + 6 and two side of its are given by 4 x minus 9 and 12 Y minus x + 8 then find its third side
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Answer:
Given perimeter of triangle is 6p
2
−4p+9 and two of its sides are p
2
−2p+1 and 3p
2
−5p+3.
Let thee third side be c.
we k.n.t perimeter of a triangle p with sides a,b,c is p=a+b+c.
p= 6p
2
−4p+9
a= p
2
−2p+1
b= 3p
2
−5p+3.
p=a+b+c
c=p−a−b
c=(6p
2
−4p+9)-(p
2
−2p+1)-(3p
2
−5p+3)
c=(6−1−3)p
2
+(−4+2+5)p+(9−1−3)
∴c=2p
2
+3p+5∴ third side of given triangle is 2p
2
+3p+5.
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