On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .

What statement is true about the triangle?

AC=3 in.

BC=3 in.

BC=6 in.

AC=6 in.

Option A: is true about the triangle.

Explanation:

The measurements of the right triangle ABC is , and

The image of the triangle having these measurements is attached below:

Option A:

Using Pythagorean theorem, we have,

Thus, the length of AC is

Therefore, Option A is true about the triangle.

Hence, Option A is the correct answer.

Option B:

Using Pythagorean theorem, we have,

Thus, the length of BC is

Therefore, Option B is not true about the triangle.

Hence, Option B is not the correct answer.

Option C:

Using Pythagorean theorem, we have,

Thus, the length of BC is

Therefore, Option C is not true about the triangle.

Hence, Option C is not the correct answer.

Option D:

Using Pythagorean theorem, we have,

Thus, the length of AC is

Therefore, Option D is not true about the triangle.

Hence, Option D is not the correct answer.

:

step-by-step explanation: