The sides of the smaller triangle are 5cm , 7cm, 8cm .
The perimeter of smaller triangle = 5 + 7 + 8 = 20 cm
The perimeter of larger triangle is 100cm
We know , [tex] \frac{Perimeter-of-larger triangle }{Perimeter- of -smaller triangle } = [/tex] [tex] \frac{side- of- larger triangle }{side-of-smaller triangle} [/tex]
[tex] \frac{100}{20} = \frac{x}{5} [/tex]
5 = [tex] \frac{x}{5} [/tex]
25 = x
Side of smaller triangle = 5cm
the side of larger triangle = 25 cm
5 * 5 = 25 so scale factor = 5
Multiply each side by 5 to get sides of larger triangle
5 * 5= 25 cm
7 * 5 = 35cm
8 * 5 = 40cm
The sides of the larger triangle are 25cm , 35cm, 40cm .