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andriy [413]
2 years ago
6

Based on the given angle measures, which triangle has side length measures that could be correct?

Mathematics
2 answers:
Likurg_2 [28]2 years ago
8 0

Answer

The triangle in the figure 4 is correct .

Reason

by using the trignometric identity

tan\theta = \frac{Perpendicular}{Base}

Thus

tan 30^{\circ} = \frac{Perpendicular}{Base}

tan 30 ^{\circ} =\frac{1}{\sqrt{3}}

Now in the figure (1)

tan 30^{\circ} = \frac{13.9}{8}

\frac{1}{\sqrt{3}} = \frac{13.9}{8}

on simplify

0.5774 \neq 1.7375

thus side length measures in the figure (1) is not correct .

Now in the figure (2)

tan30^{\circ} =\frac{16}{8} \\ \frac{1}{\sqrt{3}} =\frac{16}{8} \\ 0.577 \neq 2

thus side length measures in the figure (2) is not correct .

Now in the figure (3)

tan 30 ^{\circ} = \frac{8}{16} \\ \frac{1}{\sqrt{3}} =\frac{8}{16} \\ 0.577\neq0.5

thus side length measures in the figure (3) is not correct .

Now in the figure (4)

tan30^{\circ} = \frac{8}{13.9} \\ \frac{1}{\sqrt{3}} =\frac{8}{13.9}\\ 0.577 = 0.576(approx)

 Therefore the figure (4) is correct triangle has side length measures that could be correct

Hence proved


 


Phoenix [80]2 years ago
8 0

Answer:

The answer is D on edgen.

Step-by-step explanation:

D. the 4th figure

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