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:
Step-by-step explanation:
3/4 + (1/4 - 1/6)
= 3/4 +1/4 - 1/6
The LCM = 12
= {(3×3) + (1×3) - (2×1)}/12
= (9+3-2)/12
= 10/12
= 5/6
Answer:
sometimes
Step-by-step explanation:
Hi!
When you use postulates and theorems, you need to make sure to only use the given information that you know. Look for the given statements, and congruence marks on the figure. Those are also considered given.
By looking, you are given an angle and a side. The side comes first. SU=TV.
So, that makes it so Side-Angle-Side would be the best option.
I hope this helps!
