Triangle XYZ above is similar to triangle UVW (not shown). If the length of one side of triangle UVW is 60, then what is one possible perimeter of triangle UVW
No figures available here. 'Splain, please.
To find the perimeter of a triangle, we need to know the lengths of all three sides. However, in this case, we are only given the length of one side of triangle UVW.
Since triangle XYZ is similar to triangle UVW, it means that the corresponding sides of the two triangles are proportional. Therefore, we can find the lengths of the other two sides of triangle UVW by multiplying them with the same ratio.
Let's assume that the length of one side of triangle XYZ is x. We can set up a proportion using the lengths of the sides of the two triangles:
x / 60 = (length of corresponding side of triangle XYZ) / (length of corresponding side of triangle UVW)
Since we want to find the possible perimeter of triangle UVW, which is the sum of all three sides, we need to find the lengths of the other two sides.
To solve for x, we can rearrange the proportion:
x = (length of corresponding side of triangle XYZ) * 60 / (length of corresponding side of triangle UVW)
Once we have the value of x, we can find the lengths of the other two sides of triangle UVW by multiplying x with the same ratio of corresponding sides.
Then, we can calculate the perimeter of triangle UVW by adding the lengths of all three sides.