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?
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.
To find the length of triangle XYZ, we can use the information given about the scale factor and the corresponding sides of both triangles.
The scale factor of triangle LMN to triangle XYZ is 2:5, which means that each side of triangle XYZ is 2/5 times the length of the corresponding side of triangle LMN.
Given that triangle LMN has a side of 5, we can find the length of the corresponding side in triangle XYZ by multiplying 5 by 2/5:
Length of triangle XYZ's side = 5 * (2/5) = 2.
Therefore, triangle XYZ has a side length of 2.