Question

HELP PLEASE!! ASAP If triangles ABC and DEF are similar, what is y? Show your work.

Answer 1

If both triangles are similar then ratio of sides will be same.

$\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}$

$\\ \sf\longmapsto 12(21)=14y$

$\\ \sf\longmapsto 14y=252$

$\\ \sf\longmapsto y=\dfrac{252}{14}$

$\\ \sf\longmapsto y=18$

Answer 2

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

$\frac{BC}{EF}$ = $\frac{AC}{DF}$ , substitute values

$\frac{y}{12}$ = $\frac{21}{14}$ ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18