Triangle abc (a- 12cm b- 6cm) is similar to ayz, whats the value of x

26cm

Step-by-step explanation: we want a triangle with shorter sides (smaller perimeter) and we got 2 similar triangles , since triangles are similar the corresponding sides would be in ratio.

To get triangle of shorter perimeter we have to use the longest side of

△

A

B

C

put 6cm side corresponding to 12cm side.

Let

△

A

B

C

~

△

D

E

F

6cm side corresponding to 12 cm side .

therefore,

A

B

D

E

=

B

C

E

F

=

C

A

F

D

=

1

2

So the perimeter of ABC is half of the perimeter of DEF .

perimeter of DEF =

2

×

(

3

+

4

+

6

)

=

2

×

13

=

26

c

m

answer 26 cm.

C

Step-by-step explanation: