Answer:
x = [tex]\sqrt{48}[/tex]
Angle B = 60 degrees
Step-by-step explanation:
Since the triangle is equilateral, we know that all sides will be 8 units long. Side CB is split in half so each half (CD and DB) are 4 units long. Side CA is 8 units long and is the hypotenuse for triangle ACD. To find the unknown side (AD aka x):
4^2 + x^2 = 8^2. use the pythagorean theorem
16 + x^2 = 64. subtract 16 from both sides
x^2 = 48. take the square root of both sides
x = [tex]\sqrt{48}[/tex]
For angle B, we know that all the angles in triangle ABC will be the same since it is an equilateral triangle.
180/3 = 60. total sum of all angles in a triangle will be 180 so divide that by total angles (3)
Angle B = 60 degrees
