Question

In the figure, ∆ABC ~ ∆DEF. solve for x

A) x = 1.5

B) x = 6

C) x = 4

D) x = 5.5​

Answer 1

Option B x=6 units

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and DEF are similar

therefore

∠A≅∠D

∠B≅∠E

∠C≅∠F

and

AB/DE=BC/EF=AC/DF

Find the value of x

AB/DE=BC/EF

substitute the given values

x/3=16/8

x=3*16/8

x=6 units