The perimeter of a triangle is 50 cm one side of a triangle 4cm longer than the smaller side and the third side is 6 CM less than the twice the smaller side find the area of the triangle
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Answer:
Let the smallest side = x
second side = x + 4
Third side = 2x - 6
perimeter = side a + side b + side c
50 = x + x + 4 + 2x - 6
4x = 50 + 2
x = 52 / 4
= 13
second side = 17
third side = 20
Therefore ,
semi perimeter = a+b+c / 2
= 20 + 17 + 13 / 2
s = 50 / 2 = 25
Area of triangle = √25 ( 25 - 20 ) ( 25 - 13 ) ( 25 - 17 )
= √5*5*5*2*2*2*3*2*2
= 20√30 cm units
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