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18 March, 12:18

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.

What is the approximate area of the triangle? Round to the nearest tenth.

Area of a triangle = 1/2 bh

A. 68.7 cm2

B. 161.7 cm2

C. 381.3 cm2

D. 450.0 cm2

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Answers (1)
  1. 18 March, 13:52
    0
    Sin 23° = Opposite/Hypotenuse = b / c

    0.39 = b / 30

    b = 0.39 · 30

    b = 11.722 cm

    Area of a triangle:

    A = 1/2 b h

    A = 1/2 · 11.722 · 27.6

    A ≈ 161.7 cm²

    Answer:

    B) 161.7 cm²
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