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? Helppppp

Meeeeeeeeeee!!!

7.5 units is zx

7

We can use the proportionality of corresponding sides in similar triangles to find the length of the corresponding side in triangle xyz.

Let the length of the corresponding side of triangle xyz be x. Then we can set up the following proportion:

5/2 = x/5

Solving for x, we get:

x = 5(5/2) = 12.5

Therefore, the length of the corresponding side in triangle xyz is 12.5 units.

To find the length of triangle XYZ, we can use the concept of scale factor. The scale factor tells us how the lengths of corresponding sides in two similar triangles are related.

Given that the scale factor of triangle LMN to triangle XYZ is 2:5, we can write the ratio of the lengths of corresponding sides as:

LM/LX = MN/MY = LN/LZ = 2/5

Now, we know that one side of triangle LMN has a length of 5. Let's call this side LM. To find the length of corresponding side LX in triangle XYZ, we can set up the following proportion:

LM/LX = 2/5

Substituting the value of LM as 5, we have:

5/LX = 2/5

To isolate LX, we can cross-multiply:

2 * LX = 5 * 5

2LX = 25

Finally, divide both sides by 2 to solve for LX:

LX = 25/2

Therefore, the length of side XY in triangle XYZ is 25/2 or 12.5 units.