Given that ABC ~ DEF, solve for x. [ No random answer or ill report.]
Mathematics
aiirrx
Question
Given that ABC ~ DEF, solve for x. [ No random answer or ill report.]
2 Answer

1. User Answers corajune99
Because we know the 2 triangles are similar, the ratios will be the same for all 3 sides. Find the ratio by dividing 35 by 5 (side AB and DE). The ratio is 7. Divide 42 by 7 to find x. X=6 
2. User Answers InesWalston
Answer
The value of x is 6 units.
Solution
Given that,
ΔABC ~ ΔDEF.
If two triangles are similar, then the ratio of the corresponding sides must be same.
So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
Also given that,
AB = 35
DE = 5
BC = 49
EF = x
Putting the values,
[tex]\Rightarrow \dfrac{35}{5}=\dfrac{42}{x}[/tex]
[tex]\Rightarrow x=\dfrac{42\times 5}{35}=6[/tex]