the perimeter of a triangle is 50 cm one side of a triangle is 4 cm longer than the smallest side and the third side is 6 CM less than twice the smallest side find the area of triangle
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Let smallest side be x.
one side= 4+x
third side= 2x-6
Perimeter= 50
=> x+4+x+2x-6=50
=>x=12.
one side= 4+x
third side= 2x-6
Perimeter= 50
=> x+4+x+2x-6=50
=>x=12.
Answered by
2
Answer:
Let the Length of the smaller side = x cm
Length of the second side = (x + 4) cm
Length of the third side = (2x - 6) cm
Perimeter of a Triangle = 50 cm
According to Question now,
➳ Perimeter of triangle = Sum of all sides
➳ 50 = x + (x + 4) + (2x - 6)
➳ 50 = x + x + 4 + 2x - 6
➳ 50 = 4x - 2
➳ 4x = 50 + 2
➳ x = 52/4
➳ x = 13
Therefore,
Length of the smaller side = x = 13 cm
Length of the second side = (x + 4) = 13 + 4 = 17 cm
Length of the third side = (2x - 6) = 2(13) - 6 = 26 - 6 = 20 cm
_____________________
Now, we will find the Semi Perimeter of triangle :
Let a = 13 cm, b = 17 cm = c = 20 cm
➳ S = a + b + c/2
➳ S = 13 + 17 + 20/2
➳ S = 50/2
➳ Semi Perimeter = 25 cm
Now, we will find the area of triangle by using herons Formula :
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