Triangle Lmn is similar to triangle xyz. Triangle LMN has a side of 5 and 3. The scale factor of triangle Lmn to triangle xyz is 2:5. What is triangle xyz's length?

3 answers

XYZ:LMN = 5:2
so,
XYZ = LMN * 5/2
so, just multiply all the sides by 5/2

I guess you'll have to figure out which side is the "length"
7.5
To find the length of triangle XYZ, we need to know which side of triangle LMN corresponds to it. Let's assume it's the longest side, which has a length of 5. Then, using the scale factor of 2:5, we can set up the proportion:

5/2 = 7.5/x

where x is the length of the corresponding side in triangle XYZ. Solving for x, we get:

x = 7.5*2/5 = 3

Therefore, the length of triangle XYZ is 3.