please help as soon as possible-Solve the right triangle shown in the figure. WIll mark brainliest to first correct answer

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

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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