The sides of a triangle measure 2, 3 and 4. If the smallest side of a similar triangle measures 8, then the measure of the largest side is?
Since eight is four times as large as two, the new triangle largest side will be four times four.
16
The measure of the largest side of the new similar triangle will be 16.
To answer this question, we can use the concept of similarity of triangles. Similar triangles have proportional sides. In this case, the smallest side of the original triangle measures 2, and the corresponding side in the similar triangle measures 8.
Since the corresponding sides are in proportion, we can set up the following equation:
2/8 = 4/x
To solve this equation, we can cross multiply:
2x = 8 * 4
2x = 32
Dividing both sides by 2, we get:
x = 16
Therefore, the measure of the largest side of the similar triangle is 16.