AI Math Solver
Resources
Questions
Pricing
Login
Register
Home
>
Questions
>
Calculate Length of Segment RS with QR=15 and QS=45
Mathematics
Grade 8 (Junior High School)
Question Content
In the figure, it is given that QR = 15 and QS = 45. Find the length of RS.
Correct Answer
30
Detailed Solution Steps
1
Step 1: Assume points Q, R, and S are collinear with R lying between Q and S (standard configuration for this segment problem), so QS is the total segment equal to the sum of QR and RS.
2
Step 2: Rearrange the segment addition formula to solve for RS: RS = QS - QR.
3
Step 3: Substitute the given values: RS = 45 - 15 = 30.
Knowledge Points Involved
1
Segment Subtraction for Collinear Points
If three collinear points have a total segment length and one sub-segment length known, the unknown sub-segment length can be found by subtracting the known sub-segment from the total segment. This is a direct application of the segment addition postulate, rearranged to isolate the unknown segment.
Loading solution...
