Triangle A has sides of lengths #24 #, #15 #, and #18 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?
Possibility 1: 15 and 18
Possibility 2: 20 and 32
Possibility 3: 38.4 and 28.8
First we define what a similar triangle is. A similar triangle is one in which either the corresponding angles are the same, or the corresponding sides are the same or in proportion.
In the 1st possibility, we assume that the length of the sides of triangle
In the 2nd possibility, we assume that the length of one side of triangle
In the 3rd possibility we do the exact same thing, except using the number 15. So we divide