Question

I need help with congruence and similarity problem. ( picture below)

Answer 1

x = 9, y = 4 and z = 6.67

Explanation:

Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.

Therefore,
`(x)/(6)=(12)/(8)`

x =
`(12* 6)/(8)`

x = 9

Similarly,
`(10)/(z)=(12)/(8)`

z =
`(10* 8)/(12)`

z =
`(20)/(3)` = 6.67

And
`(6)/(y)=(12)/(8)`

y =
`(8* 6)/(12)`

y = 4

Therefore, x = 9, y = 4 and z = 6.67 will be the values.