Brainliest pls?
Answer:
Side BC = sqrt 80 or 8.94
Angle A = 48.19 degrees
Angle C = 41.81
Step-by-step explanation:
Using the Pythagorean Theorem, we can solve for the missing side, BC:
a^2 + b^2 = c^2 (Substitute)
8^2 + b^2 = 12^2 (Simplify)
64 + b^2 = 144 (Subtract 64 from both sides)
b^2 = 80
b = sqrt (80)
b is approximately equal to 9 and when rounded to the hundredths, it is equal to 8.94.
Now that we know the sides, we can use trig relationships between the sides to find the angles:
sin A = (sqrt 80)/12 (Using the square root directly will result in accurate answers | take the inverse sine of both sides)
A = sin-1 ((sqrt 80)/12)
Angle A = 48.19 degrees (approximation to the nearest hundredth)
We know that B is a right angle, hence 90 degrees.
sin C = 8/12 (Take the inverse sine of both sides)
C = sin-1 (8/12)
Angle C = 41.81 degrees (approximation to the nearest hundredth)
