Question

Triangle ABC is similar to triangle DBE.

A А
D
18 mm
k mm
с
E
투
5 mm
10 mm
What is the value of k in millimeters?
A. 27 mm
B. 12 mm
C. 13 mm
D. 9 mm

Answer 1

D

Explanation:

Answer 2

The value of k in the triangle given is 12 mm

Using the concept of similar triangles;

AC = DE

(CE + EB) = EB

Inputting our values ;

18 = k

(5+10) = 10

18 = k

15 = 10

cross multiply

15k = 180

k = 180/15

k = 12 mm

The value of k in the triangle is 12 mm