Question

Triangle XY Z is similar to triangle ABC.

Solve for k.
ka
X
4.5
4
z
Y
3
B
12

Answer 1

13.5=k

Explanation:

When 2 triangles are similar the ratio of their corresponding sides are equal.

`(XY)/(YZ)=(AB)/(BC)\\\\`

Plug in the values given:

`(4.5)/(3) =(k)/(9)`

Cross Multiply

40.5=3k

Divide to isolate k

13.5=k

Answer 2

13.5

Explanation:

12/4=3

9/3=3

4.5x3=13.5