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davisnaziyahovz5sk
12.07.2019 •
Mathematics
Aright triangle has one angle that mesures 23. the adjacent leg measures 27.6 cm and the hypotenuse measures 30cm. what is the approximate area of triangle? round to the nearest tenth area of the triangle =1/2bh a: 68.7cm^2 b.161.7cm^2 c.381.3cm^2 d450.cm^2
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Ответ:
tangent (23) = opposite/adjacent (TOA), where opposite is altitude and adjacent is base
So tangent (23) = alt/27.6cm
alt = 27.6×tan23 = 27.6×0.424
alt = 11.72cm
So now area = 1/2 (b)(h), where h=alt
area = 1/2 (27.6cm)(11.72cm) = 161.7cm^2
So the correct answer is [B.]
Ответ: