Given: AABC, AC = 5 m C = 90° m A= 22° Find: Perimeter of AABC A C B

Mathematics

1 answer:

Leto [7]2 years ago

7 0

9514 1404 393

Answer:

perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

Tan = Opposite/Adjacent

Cos = Adjacent/Hypotenuse

From these, we have ...

opposite = 5·tan(22°) ≈ 2.02

hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

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