If the perimeter of a triangle is 5x+6cm.find and its two sides are x+3 cm and 2x+6cm.find. find out the third side
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2
If length of sides of triangle are a, b and c then
Perimeter = a + b + c
c = Perimeter - (a + b)
= 5x + 6 - [(x + 3) + (2x + 6)]
= 5x + 6 - [3x + 9]
= 2x - 3
∴ Length of third side is (2x - 3) cm
Perimeter = a + b + c
c = Perimeter - (a + b)
= 5x + 6 - [(x + 3) + (2x + 6)]
= 5x + 6 - [3x + 9]
= 2x - 3
∴ Length of third side is (2x - 3) cm
Answered by
0
Perimeter of the triangle = Sum of its sides.
Given sides= x + 3, 2x +6
Perimeter = 5x + 6
Third side = Perimeter - Sum of two sides
= 5x+ 6 - ( x + 3+2x +6)
= 5x + 6 -(3x+ 9)
= 5x + 6 -3x -9
= 2x -3
Therefore, the third side is 2x -3
Given sides= x + 3, 2x +6
Perimeter = 5x + 6
Third side = Perimeter - Sum of two sides
= 5x+ 6 - ( x + 3+2x +6)
= 5x + 6 -(3x+ 9)
= 5x + 6 -3x -9
= 2x -3
Therefore, the third side is 2x -3
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