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Dimas [21]
3 years ago
14

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.

<u>Step 1: Find side AB</u>

<em>AB can be solved through the Pythagoras theorem.</em>

<em>c² = a² + b²</em>

<em>c² = 2.7² + 1.1²</em>

<em>c² = 8.5</em>

<em>c = √8.5</em>

c = 2.9 cm

<u>Step 2: Find angle A</u>

<em>Angle A can be found through tan formula</em>

<em>tan (angle) = opposite/adjacent</em>

<em>tan (angle A) = BC/AC</em>

<em>tan (angle A) = 2.7/1.1</em>

<em>Angle A = tan inverse (2.7/1.1)</em>

Angle A = 68°

<u>Step 3: Find angle B</u>

<em>All 3 angles of a triangle are equal to 180°</em>

<em>Angle A + Angle B + Angle C = 180°</em>

<em>68 + B + 90 = 180°</em>

Angle B = 22°

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

!!

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Step-by-step explanation:

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