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.
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]90^{\circ}+45^{\circ}+\angle C=180^{\circ}[/tex]
[tex]\angle C=45^{\circ}[/tex]
Since two interior angles are same, therefore the triangle ABC is an isosceles right angle triangle. It means the length of legs are same.
[tex]AB=AC[/tex]
It is given that AB = 4 .
[tex]AC=4[/tex]
Therefore, option 4 is correct.
