The lengths of the sides of a triangle are 3,4, and 6. If the length of the shortest side of a similar triangle is 5, find the length of its longest side.

Answer:the length of the longest side of the bigger triangle is 10Step-by-step explanation:The illustration of this scenario is shown in the attached photo. The small triangle is triangle ABC and it corresponds to a bigger triangle XYZ. This also means that triangle ABC is similar to triangle XYZ. This means that the ratio of a side on the small triangle to a corresponding side on the bigger triangle is constant or proportional. Therefore,AB/XY = AC/XZ = BC/YZWe want to find the length of the longest side of the bigger triangle. Let x = the length of the longest side of the bigger triangle. It becomes BC/YZ = AC/XZ6/x = 3/53x = 30x = 30/3 = 10