It is not possible for m ∠ B = 25°.
Explanation:
Given that ABC is a triangle.
The triangle contains the side lengths [tex]b=2.5[/tex] and [tex]c=7[/tex]
We need to determine that the m ∠ B = 25°.
To determine the m ∠ B = 25°, let us use the law of sine formula.
The law of sine formula is given by
[tex]\frac{Sin B}{b}=\frac{Sin C}{c}[/tex]
Let us substitute B = 25°.
Thus, we have,
[tex]\frac{Sin 25}{2.5}=\frac{Sin C}{7 }[/tex]
Simplifying, we have,
[tex]\frac{0.42}{2.5}=\frac{Sin C}{7 }[/tex]
Multiplying both sides by 7, we have,
[tex]\frac{2.94}{2.5}={Sin C}[/tex]
Dividing, we get,
[tex]1.18=SinC[/tex]
Since, the value of sin is [tex]-1\leq x\leq 1[/tex]
Thus, It is not possible for m ∠ B = 25°.
