Answer:
Perimeter of first triangle = 102.73
Perimeter of 2nd triangle = 123.27
Step-by-step explanation:
Dividing the area of two triangle we can find the square of the scale factor:
[tex]\frac{72}{50}[/tex] = 1.44
Scale factor will become = [tex]\sqrt{1.44}[/tex] = 1.2
Sum of perimeter of triangle = 226dm
perimeter of triangle = x + y + z = p
perimeter of first triangle = 1.2(x + y + z) = 1.2p
perimeter of 2nd triangle = (x + y + z) = p
Permieter of first triangle + Perimeter of second triangle = 226
1.2(p) + p = 226
2.2p = 226
p = 102.73 // This is the perimeter of 2nd triangle
For finding permieter of first triangle, multiply it with 1.2
102.7 * 1.2 = 123.27 // This is the perimeter of 1st triangle