Question

The lengths of the sides of a triangle are 6, 7, and 9. Find the longest side of a similar triangle whose shortest side is 4.

13 1/2
6
2√6

Answer 1

im thinking it is 2√6

Answer 2

I would politely disagree.

The shortest side of the *original* triangle is 6

The shortest side of the *similar* triangle is 4.

These two sides correspond. So the ratio of the similar triangle to the original triangle is 4/6 or 2/3. So the scale factor is 2/3.

From there, multiply the longest side of the *original* triangle by 2/3 to get the longest side of the similar triangle.

Answer 3

oh okay so the answer shall be 6?

Answer 4

Yes