Question 169562This question is from textbook Introductory Algebra
: For the pair of similar triangles, find the length of the indicated side. In the outer triangle, the shortest side has length 6, and the middle side has length 9. In the inner triangle, the shortest side has length 2, the middle side has length 3, and the longest side has length 4. Find the length, x, of the longest side of the outer triangle.
This question is from textbook Introductory Algebra
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! in a similar triangle, corresponding sides are proportional
that would be shortest side to shortest side, middle side to middle side, and largest side to largest side.
----
looks like these triangles are in a 3 to 1 proportion as each side of the larger triangle appears to be 3 times as large as each side of the smaller triangle.
-----
if that's true, then the largest side of the larger triangle must be 3 * the largest side of the smaller triangle.
-----
3 * 4 = 12
-----
largest side of the larger triangle = 12
-----
|
|
|
