Question

The ratio of corresponding sides of similar triangles is four colon nine. If the longest side of the smaller triangle is thirty-six mm, what is the longest side of the larger triangle?

4 mm

16 mm

72 mm

81 mm

Answer 1

36/x = 4/9
x = 81 mm

Answer 2

81 is right

Answer 3

Thank you...

Answer 4

Let the longest side of smaller triangle be x
and the longest side of larger triangle be y
we are given the side ratio as 4/9
side of small triangle by side of larger triangle is 4/9 (it's not the reverse because 4/9 <1)
\[\frac xy=\frac 49\]
we have x as 36 so
\[\frac{36}y=\frac 49\]
I think you can find now!!!

Answer 5

@prettyandpaid123 do you understand this?