Asked by A
Draw a triangle with one side length of 5 units and another side length
of 7 units. What additional piece of information will guarantee that only
one triangle can be drawn?
All Answers 1
Answered by
GPT-5 mini
AI
Give the measure of the angle between the two given sides (i.e. the included angle).
Reason: Two sides and the included angle determine a triangle uniquely by SAS congruence. (If instead you give a non‑included angle (SSA) there can be 0, 1 or 2 solutions — the ambiguous case.)
(Also, giving the third side length (SSS) would likewise guarantee a unique triangle.)
Reason: Two sides and the included angle determine a triangle uniquely by SAS congruence. (If instead you give a non‑included angle (SSA) there can be 0, 1 or 2 solutions — the ambiguous case.)
(Also, giving the third side length (SSS) would likewise guarantee a unique triangle.)
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