Question

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

Answer 1

B.3.75 is the answer

Answer 2

Similar states:

• They have the same geometric shape.

• Their corresponding sides are in proportion.

Given the statement: Pentagon JKLMN is similar to pentagon STUVW .

If NJ = 4 units WS = 3 units and JK = 5 units.

We have to find ST.

By definition of similar;

`(JK)/(ST)=(KL)/(TU)=(LM)/(UV)=(MN)/(VW) =(NJ)/(WS)`.

then;

`(JK)/(ST)=(NJ)/(WS)`

Substitute the given values, to solve for ST;

`(5)/(ST)=(4)/(3)`

By cross multiply we have;

`15=4ST`

Divide both sides by 4 we get;

`3.75 = ST`

Therefore, the value of ST = 3.75 units