Question

How do you determine the number of possible triangles and find the measure of the three angles given `PQ=12, PR=15, mangleR=100`?

Answer 1

No solution is possible with the given SSA measurements.

Explanation:

`r = 12, hatR = 100, q = 15`

Since one angle is obtuse, only one solution is possible with the measurements given.

`sin Q = (sin R * q) / r = (sin 100 * 15) / 12`

However, side q is greater than r. Therefore `hat Q` must be greater than `hat R`. As `hatR` is already obtuse, no two obtuse angles exist in a triangle. Hence, no solution is possible with the given SSA measurements.