Question

Triangle ABC contains side lengths b = 2.5 meters and c = 7 meters. In two or more complete sentences describe whether or not it is possible for m ∠ B = 25°.

Answer 1

It is not possible for m ∠ B = 25°.

Step-by-step explanation:

Given that ABC is a triangle.

The triangle contains the side lengths
`b=2.5` and
`c=7`

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

`(Sin B)/(b)=(Sin C)/(c)`

Let us substitute B = 25°.

Thus, we have,

`(Sin 25)/(2.5)=(Sin C)/(7 )`

Simplifying, we have,

`(0.42)/(2.5)=(Sin C)/(7 )`

Multiplying both sides by 7, we have,

`(2.94)/(2.5)={Sin C}`

Dividing, we get,

`1.18=SinC`

Since, the value of sin is
`-1\leq x\leq 1`

Thus, It is not possible for m ∠ B = 25°.