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Which is true of the triangle below?


A. The given measures cannot create a triangle because bsinA > a.

B. The given measures create exactly one triangle because bsinA = a.

C. The given measures create exactly one triangle because a > b.

D. The given measures create two triangles because bsinA < a < b.

Respuesta :

Answer:

The correct option is;

D. The given measures create two triangles because bsinA < a < b.

Step-by-step explanation:

Here we have the law of sines given by

[tex]\frac{sinA}{a} = \frac{sin B}{b} = \frac{sin C}{c}[/tex]

Let A = 50°

a = 14 units

b = 16 units

Since the b·sinA = 16··sin50 = 12.3 < 14 < a < b

Therefore either B < A or B < A are two possible triangles formed  by the sides and the subtended angle to the short side

The short side can meet the base (the third side with no length dimension) at two points, forming two different triangles.

Bodeelunt

Answer:

D).  The given measures create two triangles because bsinA < a < b.

Step-by-step explanation:test on edge

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