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qid 8728 · math
Question: In triangle RST, X is located on the side RS, Y is located on the side RT, Z is located on the side ST, and XY and XZ are midsegments of △RST. If the length of side XY is 7, the length of side RT is 13, and the measure of angle YXZ is 124°, what is the length of side XZ?
- 7
- 6.5
- 7.5
- 13
- 5
- 10
- 14
- 9.5
- 8.5
- 12
Our answer: B. 6.5 Source quote machine-checked (exact quote)
How it was answered
Multi-step solver (maze), replayed by code
Current source
Math Open Reference, Triangle Midsegment
https://www.mathopenref.com/trianglemidsegment.html
“The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.”
Source quote machine-checked (exact quote)
Earlier version (superseded)
https://www.mathopenref.com/trianglemidsegment.html
Source weak (http_get_200_text_and_question_terms)
Earlier version (superseded)
No public source has been found for this card yet (3 places checked internally).
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