In two similar triangles , the sides of the smaller triangle are 5cm , 7cm, 8cm .if the perimeter of larger triangle is 100cm,find the sides of larger triangle

Respuesta :

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 .