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?
no idea what LMN's length is, but XYZ's length is 5/2 as big
To find the length of triangle XYZ, we can use the concept of similarity and the scale factor between the two triangles.
Since triangle LMN is similar to triangle XYZ, it means that the corresponding sides of the two triangles are proportional. The scale factor of triangle LMN to triangle XYZ is given as 2:5.
You have mentioned that triangle LMN has a side of length 5. To find the corresponding side length of triangle XYZ, we can set up a proportion using the scale factor:
(Length of LMN) / (Length of XYZ) = (Scale factor of LMN:XYZ)
Plugging in the values we know, we get:
5 / (Length of XYZ) = 2 / 5
To solve for the length of XYZ, we can cross-multiply and solve for X:
5 * 5 = 2 * (Length of XYZ)
25 = 2 * (Length of XYZ)
Dividing both sides of the equation by 2, we find:
(Length of XYZ) = 25 / 2
So, the length of triangle XYZ is 12.5.