Question

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

Answer 1

Answer:

the value of 'PU' is 19

Step-by-step explanation:

Answer 2

Answer:

So the value of 'PU' is $19$

Step-by-step 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;

$XP=\frac{2}{3} \times XU$

Plug the values 'XU' in above equation;

$XP=\frac{2}{3} \times57$

$XP=2\times 19$

$XP=38$

From figure;

$XP+PU=XU$

$PU=XU-XP$

Plug 'XU' and 'XP' values;

$PU=57-38$

$PU=19$

∴ The value of 'PU' is $19$