<u>Angle A = 30 degrees</u>
1) Use the Pythagorean Theorem:
-->
--> 144 + 48 =
--> 192 =
--> AC =
2) Figuring out the type of triangle it is
There's a formula on the sides of a certain type of triangle:
--> Hypotenuse: a, Short Leg: a/2, Longer Leg: a/2 *
That type of triangle perfectly matches the sides of our triangle: 12, ,
Therefore, this triangle is a 30, 60, 90 triangle.
3) Finding the measure of angle A
--> Angle B is given: 90 degrees
--> The angle that's between Sides AB and AC is 30 degrees
Finally, we can conclude that Angle A is 30 degrees