Question

Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ triangle, two​ triangles, or no triangle at all.
Solve each triangle that results.
a = 9.7, b = 49, Upper A = 26°

Answer 1

These measurements will not form a triangle.

Step-by-step explanation:

We have sine formula

          $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

Given

        a = 9.7

        b = 49

        A = 26°

Substituting

        $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\\\\\frac{9.7}{sin26}=\frac{49}{sinB}\\\\sinB=2.21$

Value of sin B is greater than 1, which is not possible.

Hence these measurements will not form a triangle.