Answer:
b = 5.7
A = 51.1°
B = 38.9°
Step-by-step explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:
[tex] sin(A) = \frac{Opp}{Hyp} [/tex]
[tex] sin(A) = \frac{7}{9} [/tex]
[tex] A = sin^{-1}(\frac{7}{9}) [/tex]
A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°
