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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?

Verified Answer :

mathssydney

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

Answer:

Length of the bigger triangle is 10.5 units

Step-by-step 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, \(\frac{2}{3}=\frac{7}{x}\)

i.e. \(x=\frac{7\times 3}{2}\)

i.e. \(x=\frac{21}{2}\)

i.e. x = 10.5

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

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