Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer:
V≈381.7ft³
Step-by-step explanation:
try using a sphere calculator next time its a lot easier and saves time
Its 27 if you’re adding at the bottom, but I cant really tell since it’s cropped
9514 1404 393
Answer:
B) The incenter is equidistant from all three sides of the triangle.
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.
