Question

Given that ABC ~ DEF, solve for x. [ No random answer or ill report.]

Answer 1

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,

`(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`

Also given that,

AB = 35

DE = 5

BC = 49

EF = x

Putting the values,

`\Rightarrow (35)/(5)=(42)/(x)`

`\Rightarrow x=(42* 5)/(35)=6`

Answer 2

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