Question

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?

Answer 1

1) 7/2 = 3.5
2) 3.5 * 3 = 10.5
answer: 10.5

Answer 2

Length of the bigger triangle is 10.5 units

Explanation:

Let the length of the other triangle = x

We have that,

The length of the smaller triangle = 7 units

the ratio of sides of the figures = 2 : 3

So, we get that the proportions of the lengths will be equal.

That is,
`(2)/(3)=(7)/(x)`

i.e.
`x=(7* 3)/(2)`

i.e.
`x=(21)/(2)`

i.e. x = 10.5

Hence, the length of the bigger triangle is 10.5 units.