Question

If the two triangles given are similar, find the value of X.
a)122
b)128
c)132
d)136

Answer 1

Answer:

c)132 is the correct answer

Answer 2

Answer:

132

Step-by-step explanation:

Refer the attached figure

ΔABC ≈ ΔDEF

Property :The ratio of the corresponding sides of similar triangles area equal .

So, $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

So,  $\frac{80}{110}=\frac{112}{154}=\frac{96}{x}$

So,  $\frac{80}{110}=\frac{96}{x}$

$\frac{8}{11}=\frac{96}{x}$

$x=\frac{96 \times 11}{8}$

$x=132$

So, Option C is correct

Hence  the value of x is 132