Question

given that abc is congruent to def solve for x

a 3

b 4

c 6

d 2

Answer 1

u mean anc is \(\color{red}{similar}\) to def ?

Answer 2

yeah thats what i mean

Answer 3

well they are not congruent. they can be similar though :)
ur question says they are congruent.. so... take it as similar ok ?

Answer 4

how do i solve for x

Answer 5

using similar triangles properties

Answer 6

ABC ~ DEF

Answer 7

ratio of corresponding sides are constant in similar triangles

\(\huge \frac{AB}{DE} = \frac{AC}{DF}\)

=>

\(\huge \frac{30}{5} = \frac{24}{x}\)

Answer 8

key part here is to setup the ratio correctly

can you solve for x now ?

Answer 9

yeah so its 4

Answer 10

yep ! good work :)

Answer 11

thank you

Answer 12

np