Which equations could be used to solve for the
unknown lengths of AABC? Check all that apply.

Given that ABC is a right triangle.

The measure of ∠A is 45° and AB = 9

We need to determine the equations that could be used to solve the unknown lengths of ΔABC

Option A:

The length of BC can be determined using the trigonometric ratios.

where , and

Hence, substituting the values, we get;

Hence, Option A is the correct answer.

Option B:

The length of BC can be determined using the trigonometric ratios.

where , and

Hence, substituting the values, we get;

Thus, the length of BC can be determined using

Hence, Option B is not the correct answer.

Option C:

The length of AC can be determined using the trigonometric ratios.

where , and

Substituting the values, we get;

Thus, the length of AC using the trigonometric ratios is

Hence, Option C is not the correct answer.

Option D:

The formula for is given by the formula,

where , and

Hence, substituting the values, we get;

Thus, the given equation is wrong.

Hence, Option D is not the correct answer.

Option E:

The formula for is given by the formula,

where , and

Substituting the values, we get;

Hence, the given equation is not possible.

Thus, Option E is not the correct answer.

boxplot e is the answer