Consider a triangle where two of the angles and the side included between them are known. Is there enough information to solve for the remaining sides and angle using just the sine rule?

A triangle with two of its vertices labeled as $A$`A` and $B$`B`. Vertex $A$`A` is at the bottom right and has a small green arc, indicating a certain angle measurement. Vertex $B$`B` is at the top with a similar green arc. The side included between these two labeled vertices is labeled $c$`c`. The other sides and angle are not labeled.

Yes

Easy

< 1min

Consider a triangle where two of the angles and a side not included between them are known. Is there enough information to solve for the remaining sides and angle using just the sine rule?

Easy

< 1min

Consider a triangle where two of the sides and an angle included between them are known. Is there enough information to solve for the remaining side and angles using just the sine rule?

Easy

< 1min

Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the sine rule?

Easy

< 1min

Outcomes

U2.AoS4.4

the sine rule (including the ambiguous case) and the cosine rule

U2.AoS4.10

solve practical problems requiring the calculation of side lengths or angles in non-right-angled triangles using the sine rule or the cosine rule as appropriate

11.06 Sine rule

Interactive practice questions

Outcomes

U2.AoS4.4

U2.AoS4.10

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