To solve for x and y in the given triangle DEF ~ triangle HJ, we need to use the concept of similar triangles. By setting up proportions using the corresponding sides, we can find that x = 12 and y = 18.75.
To solve for x and y in the given triangle DEF ~ triangle HJ, we can use the concept of similar triangles.
Since triangle DEF ~ triangle HJ, we know that the corresponding sides are proportional. Using the given information, we can set up proportions:
DF/HJ = EF/GJ
12/15 = 15/y
12y = 15*15
y = 225/12
y = 18.75
GJ = 18.75
Similarly, we can set up another proportion to find x:
EF/DF = GH/HJ
15/12 = x/15
15x = 12*15
x = 180/15
x = 12
Therefore, x = 12 and y = 18.75.
The probable question may be:
Given triangle DEF ~ triangle HJG
DE=9, EF=15, DF=12, GH=x, GJ=y, HJ=15
Solve for the unknown X and Y