kaytonleeb
kaytonleeb kaytonleeb
  • 16-05-2019
  • Mathematics
contestada

HOW MANY TRIANGLES CAN BE CONSTRUCTED WITH THE FOLLOWING MEASURES?

AB = 7.6 cm, AC = 5.4 cm, and m/_ABC = 50°.

Respuesta :

Blacklash
Blacklash Blacklash
  • 04-07-2019

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 [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

Substituting

        [tex]\frac{5.4}{sin50}=\frac{7.6}{sinC}\\\\sinC=1.078[/tex]

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

Hence no triangle can be constructed with given measures.

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