Question

On a piece of paper, use a protractor to construct right triangle ABC with AB = 4 in. , m∠A = 90° , and m∠B = 45°

What statement is true about the triangle?

A) AC = 2 in.
B) BC = 4 in.
C) BC = 8 in.
4) AC = 4 in.

Answer 1

AC is the right answer

Explanation:

because i took the K12 quiz

Answer 2

The correct option is 4.

Explanation:

In triangle ABC, AB = 4 in. , ∠A = 90° , and ∠B = 45° .

The measure of angle A is 90, so BC is hypotenuse. AB and AC are legs of the triangle.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

`\angle A+\angle B+\angle C=180^(\circ)`

`90^(\circ)+45^(\circ)+\angle C=180^(\circ)`

`\angle C=45^(\circ)`

Since two interior angles are same, therefore the triangle ABC is an isosceles right angle triangle. It means the length of legs are same.

`AB=AC`

It is given that AB = 4 .

`AC=4`

Therefore, option 4 is correct.