. Grade 7, Illustrative icon

A task related to standard 7.G.A.2

Illustrative MathematicsVaries

When students successfully complete this task, they will have shown that there is more than one triangle with a 30-degree angle adjacent to a side of length 4 units and opposite to a side of length 3 units. This task can be part of a more general study directed at 'noticing when' 'three measures of angles or sides' 'determine a unique triangle, more than one triangle, or no triangle.' In this case, the three given measures determine more than one triangle. Thus in high school, there will be no 'angle-side-side theorem' analogous to the side-angle-side and similar theorems.

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