1. Similar Triangles

A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths of
(1) 3, 4, and 5 (3) 7, 24, and 25
(2) 6, 8, and 10 (4) 10, 24, and 26

2. A similar triangle would have sides that are in proportion to your original one, that is, the ratio of each of the 3 sides and each of the original 3 sides should all be equal. For example, a triangle with sides 3, 4, 5 and a triangle with sides 6, 8, 10 are similar triangles since: $\displaystyle \frac{6}{3} = \frac{8}{4} = \frac{10}{5}$.

Which of your triangles fit the description?

3. Then...

Originally Posted by o_O
A similar triangle would have sides that are in proportion to your original one, that is, the ratio of each of the 3 sides and each of the original 3 sides should all be equal. For example, a triangle with sides 3, 4, 5 and a triangle with sides 6, 8, 10 are similar triangles since: $\displaystyle \frac{6}{3} = \frac{8}{4} = \frac{10}{5}$.

Which of your triangles fit the description?
Then, based on what you said, the answer is choice 4.

5/10 = 12/24 = 13/26....This leads to 1/2 = 1/2 = 1/2...all equal ratios.

Is the correct idea?

4. Yes, that is the essence of proportionality.

5. got it.............

Originally Posted by o_O
Yes, that is the essence of proportionality.
I got it now.

Thanks