Answer:
The correct option is 4.
Step-by-step 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.
