Question

P is the centroid of XYZ. If XU = 57 what is PU? A. 38 B. 19 C. 28.5 D. 20​

Answer 1

the value of 'PU' is 19

Explanation:

Answer 2

So the value of 'PU' is
`19`

Explanation:

Given,

'p' is the centroid of
`\bigtriangleup XYZ` and
`XU=57`

∵ 'p' is the centroid then 'U' , 'V' and 'W' are the mid point of side 'YZ' , 'XZ' and 'XY'.

From Centroid Theorem we can write;

`XP=(2)/(3) * XU`

Plug the values 'XU' in above equation;

`XP=(2)/(3) *57`

`XP=2* 19`

`XP=38`

From figure;

`XP+PU=XU`

`PU=XU-XP`

Plug 'XU' and 'XP' values;

`PU=57-38`

`PU=19`

∴ The value of 'PU' is
`19`