Question

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

Answer 1

Explanation:

Firstly, add up all of the side lengths to get the perimeter of the smaller triangle, This gives you 20cm. Then, find the length scale factor, which you would get by doing 100/20=5. Then, multiply all the side lengths of the smaller triangle by this scale factor. This will give you side lengths of 25cm,35cm and 40cm. 25+35+40=100.

Answer 2

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 ,
`(Perimeter-of-larger triangle )/(Perimeter- of -smaller triangle ) =`
`(side- of- larger triangle )/(side-of-smaller triangle)`

`(100)/(20) = (x)/(5)`

5 =
`(x)/(5)`

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 .