Question

Are the Trianfle similar?

If they are, identify the similarity ratio.

Yes; the similarity ratio is 3:4.
No; the triangles are not similar.
Yes; the similarity ratio is 1:2.
Yes; the similarity ratio is 5:6.

Answer 1

It is yes the similarity ratio is 3:4.

Explanation:

Answer 2

Option 2 is correct that is NO ; The triangles are not similar.

Explanation:

Given: Measurements of the sides of triangle.

Say sides of triangle 1 = 3 , 5 , 6

Sides of triangle 2 = 4 , 6 , 8

We have to find if triangles are similar or not and if they are similar then to find their ratio.

Since, We are given with only sides of the triangle.

Then if they are similar then they will be by Side-Side-Side similarity criteria.

Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.

But clearly from given values , all ratios are not equal.

`(3)/(4)=(6)/(8)\\eq(5)/(6)`

Or

`(3)/(6)\\eq(5)/(8)\\eq(6)/(4)`

No possible pair give equal ratio.

Therefore, Option 2 is correct that is NO ; The triangles are not similar.