Find the missing sides of the similar triangles ABC and DEF.
AC=2
AB=5
CB=?
DF=4
FE=8
DE=?
To find the missing side of similar triangles, you can use the property of ratio between corresponding sides. Similar triangles have corresponding angles equal and proportional corresponding sides.
For triangles ABC and DEF, we can compare their corresponding sides:
AC/DF = AB/DE
Since we have the values for AC, AB, and DF, we can substitute them into the above ratio:
2/4 = 5/DE
Now, we can solve for DE by cross-multiplying:
2 * DE = 4 * 5
2 * DE = 20
Divide both sides of the equation by 2 to isolate DE:
DE = 20/2
DE = 10
Therefore, the missing side DE in triangle DEF is equal to 10.