How many triangles can be formed from two given angle measures and the length of their included side?NoneOneTwoInfinite number

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04-11-2022
Mathematics

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How many triangles can be formed from two given angle measures and the length of their included side?NoneOneTwoInfinite number

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RayvnH298583idn RayvnH298583idn · Answer 1 · 2022-11-04T07:00:21-04:00

RayvnH298583idn RayvnH298583idn

04-11-2022

Let's consider the situation presented by the problem. Let's assume that the measures of two angles are α and β and the length of the included side is l.

Since we already have the measures of two angles, the remaining angle will have to measure 180°- α - β. And since we have the length of their included side, every triangle that we could make would be congruent by the ASA criteria.

Therefore, we can only form one triangle.

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