Help me with this geometry

Question

asked Mar 2, 2022 225k views

1 Answer

SunnyIsaLearner · Answer 1 · 2022-03-08T13:40:41+0000

Answer:

x = 11.2

Explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

(PQ)/(VS)=(QR)/(ST) ---------(1)

Since, scale factor =
$\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}$

(2)/(5) =
(PQ)/(VS)

Therefore, from equation (1)

(2)/(5)=(x)/(28)

x =
(28* 2)/(5)

x = 11.2