Question

In △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS .

QA=23 cm , QR=41 cm , and RS=123 cm .

What is RB ?

Answer 1

the length of RB is 18 cm.

Explanation:

In △QRS, since point A is between points Q and R, and point B is between points R and S, we have that QR > QA > 0 and RS > RB > 0. Additionally, since AB∥QS, we know that the segment AB is parallel to the segment QS.

We can use this information to set up an equation to solve for RB. Since AB∥QS and QA = 23 cm, we have that QR = RB + 23. We can substitute this expression into the equation QR = 41 cm to get:

RB + 23 = 41

Solving this equation for RB, we get:

RB = 41 - 23

Therefore, the length of RB is 18 cm.