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Question:-
➡ Two sides of a triangle aee (5x + 1) cm and (x² - 5x - 4) cm. If it's perimeter is (3x² + 4x + 2) cm, find the third side.
Solution:-
Given,
Length of First side = (5x + 1) cm.
Length of Second side = (x² - 5x - 4) cm.
Length of Third side = ?
Perimeter = Length of first side + Length of second side + Length of third side.
So,
➡ Length of third side = Perimeter - (Length of first side + Length of second side)
= 3x² + 4x + 2 - (5x + 1 + x² - 5x - 4) cm
= 3x² + 4x + 2 - (x² - 3) cm.
= 3x² + 4x + 2 - x² + 3
= 2x² + 4x + 5
Hence, the length of the third side is 2x² + 4x + 5
Answer:-
The length of third side is (2x² + 4x + 5) cm
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