If the perimeter of a triangle is given by 3x - y +6, and two of it sides are given by 4x-9 and 12y = x + 8, then find its third side.
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Step-by-step explanation:
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Solution :-
given that,
→ Perimeter of ∆ = 3x - y + 6
→ First side of ∆ = 4x - 9
→ Second side of ∆ = 12y - x + 8
So, let us assume that, third side is equal to z .
we know that,
- Perimeter of ∆ = Sum of all three sides .
then,
→ Perimeter of ∆ = First side of ∆ + Second side of ∆ + Third side of ∆
→ 3x - y + 6 = 4x - 9 + 12y - x + 8 + z
→ 3x - y + 6 = (3x + 12y - 1) + z
→ z = (3x - y + 6) - (3x + 12y - 1)
→ z = 3x - 3x - y - 12y + 6 + 1
→ z = (7 - 13y) (Ans.)
Hence, the third side of the ∆ is equal to (7 - 13y) .
Learn more :-
solution of x minus Y is equal to 1 and 2 X + Y is equal to 8 by cross multiplication method
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