In triangle $ABC$, $BC=7$ cm, $AC=10$ cm and $\angle BAC=35^\circ$. Find all possible values

Question

In triangle $ABC$, $BC=7$ cm, $AC=10$ cm and $\angle BAC=35^\circ$. Find all possible values of $\angle ABC$, correct to 1 decimal place, and explain why each gives a valid triangle.[4]

Accepted Answer

$55.0^\circ$ or $125.0^\circ$; both leave a positive third angle.

Two valid triangles

Two valid triangles

Solution:

Solution locked