Answer:
option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm
Step-by-step explanation:
From my understanding, we have to find angle A, angle B and side AB.
Step 1: Find side AB
AB can be solved through the Pythagoras theorem.
c² = a² + b²
c² = 2.7² + 1.1²
c² = 8.5
c = √8.5
c = 2.9 cm
Step 2: Find angle A
Angle A can be found through tan formula
tan (angle) = opposite/adjacent
tan (angle A) = BC/AC
tan (angle A) = 2.7/1.1
Angle A = tan inverse (2.7/1.1)
Angle A = 68°
Step 3: Find angle B
All 3 angles of a triangle are equal to 180°
Angle A + Angle B + Angle C = 180°
68 + B + 90 = 180°
Angle B = 22°
option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm
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