This is the concept of algebra, for us to calculate the area of the triangle we need the value of x. Therefore, we shall obtain this from the perimeter.
P=6x+4x+3x=18 13x=18 x=18/13 x=1.385 The length of the altitudes will be: 6x=6×1.385=8.31 4x=4×1.385=5.54 3x=3×1.385=4.155 the area will be given by Heron's formual: Area=√[p(p-a)(p-b)(p-c)] p=(a+b+2)/2 =(8.31+5.54+4.155)/2 =9.0025 therefore: A=√[9.00(9-8.31)(9-5.54)(9-4.155) A=104.64 sq. units
