Question

HOW MANY TRIANGLES CAN BE CONSTRUCTED WITH THE FOLLOWING MEASURES?

Answer 1

AB=7.6 IS THE ANSWER OF THIS QUESTION

Answer 2

Answer:

No triangle can be constructed with given measures.

Step-by-step explanation:

Refer the following figure.

     AB = c = 7.6 cm

     AC = b = 5.4 cm

     ∠ABC = B = 50°

Sine rule is given by $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

Substituting

        $\frac{5.4}{sin50}=\frac{7.6}{sinC}\\\\sinC=1.078$

Value of sinC is more than 1, which is not possible.

Hence no triangle can be constructed with given measures.