Question

The triangles are similar. The area of the larger triangle is 603 cm².

What is the area of the smaller triangle?





10.5 cm²



31.5 cm²



67 cm²



189 cm²

Answer 1

did you figure out the anwser

Answer 2

We are given

both triangles are similar

Let's assume side of bigger triangle is 'a'

side of smaller triangle is 'b'

so, a=54cm

b=18cm

now, we can find ratios

`(a)/(b)= (54)/(18)`

`(a)/(b)= 3`

The area of the larger triangle is 603 cm²

so,

`A_l=603`

area of smaller triangle is As

we are given

both triangles are similar

so, we get

`(A_l)/(A_s) =((a)/(b)) ^2`

now, we can plug values

and we get

`(603)/(A_s) =(3) ^2`

`A_s=(603)/(3^2)`

`A_s=67cm^2`

so,

the area of smaller triangle is
`67cm^2`..........Answer