Pentagon JKLMN is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, find ST?

Solution:

If the two polygons have the same geometric shape and their corresponding sides are in proportions those polygons are said to be similar.

JKLMN is similar to pentagon STUVW,

and NJ = 4, WS = 3, and JK = 5. [Given]

Now we have to find ST

According to the definition,

(JK / ST) = (KL / TU)

= (LM / UV) = (NJ / WS)

So, (JK / ST) = (NJ / WS)

Then, substitute the given values,

(5/ST) = (4/3)

By cross multiplication we get,

ST = 15/4

ST = 3.75 units

Therefore, ST is 3.75 units.

Pentagon JKLMN is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, find ST?

Summary:

Pentagon JKLMN is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, then the value of ST is 3.75 units.