Question

8 15 10 N 4 5 X= y = Z =

Answer 1

Observing the two figures it seems that they are similar.

Mathematially, two figures are said to be similar if their corresponding sides are in proportion,

`(10)/(4)=(8)/(y)=(15)/(z)=(x)/(5)`

Solve for 'x' as,

`(10)/(4)=(x)/(5)\Rightarrow x=(50)/(4)=12.5`

Solve for 'y' as,

`(10)/(4)=(8)/(y)\Rightarrow y=(8*4)/(10)=3.2`

Solve for 'z' as,

`(10)/(4)=(15)/(z)\Rightarrow z=(15*4)/(10)=6`

Thus, the values of x, y, and z, are 12.5, 3.2, and 6, respectively.