In triangle ABC, a = 12, _ B= 25°, and C= 45°. Find b.
1 answer:
The value of b is 5.4
Explanation:
Given that ABC is a triangle.
It is also given that ,
and
We need to find the value of b.
The value of b can be determined using the law of sine formula, which is given by
First, we shall find the angle of A.
Since, ABC is a triangle and all the angles in a triangle add up to 180°
Thus, we have,
Thus, the value of angle A is 110°
Let us substitute these values in the law of sine formula.
Hence, we get,
Simplifying, we get,
Multiplying both sides of the equation by 0.423, we get,
Simplifying, we get,
Dividing, we have,
Thus, the value of b is 5.4
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Again, you have an undetermined constant factor.
From any of the two expressions above, you have to apply the distributive property to go on to the standard form.
An example: the zeros of a 3-degree polynomial function are -2, 1 and 3. The function equation is of this form:
If you don't have all the zeros, or the sum of multiplicities does not equal the degree of the polynomial, you have not enough information to write the equation of the function.
f(x) = k (x - z1) (x - z2) ··· (x - zn)
where k is a constant. To determine this constant you need additional information (e.g. another point of the function).
You might also have less zeros than the degree of the polynomial, because some of them have a multiplicity greater than 1. Let z1,...,zr be the zeros, and m1,...mr be the multiplicity of each zero, where m1+m2+...+mr=n (we assume the sum of all multiplicities equals the degree of the polynomial). In this case, you can use:
Again, you have an undetermined constant factor.
From any of the two expressions above, you have to apply the distributive property to go on to the standard form.
An example: the zeros of a 3-degree polynomial function are -2, 1 and 3. The function equation is of this form:
If you don't have all the zeros, or the sum of multiplicities does not equal the degree of the polynomial, you have not enough information to write the equation of the function.