Triangle ADEF is a Right triangle, where angle F = 90", side d = 19, side f = 38. Find the measure of angle D. Use knowledge of triangles and/or trigonometry to justify your answer.

Adrienne Gross
2022-02-04
Answered

Triangle ADEF is a Right triangle, where angle F = 90", side d = 19, side f = 38. Find the measure of angle D. Use knowledge of triangles and/or trigonometry to justify your answer.

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skullsxtest7xt

Answered 2022-02-05
Author has **15** answers

Step 1

in$\mathrm{\u25b3}DEF$

$m\mathrm{\angle}F=90\xb0$

d=19

j=38

Use sine law in$\mathrm{\u25b3}DEF:$

$\frac{\mathrm{sin}\left(D\right)}{d}=\frac{\mathrm{sin}\left(F\right)}{f}$

$\frac{\mathrm{sin}\left(D\right)}{19}=\frac{\mathrm{sin}\left({90}^{\circ}\right)}{38}$

$\mathrm{sin}\left(D\right)=\frac{19}{38}$

$\mathrm{sin}\left(D\right)=\frac{1}{2}$

$m\mathrm{\angle}D={\mathrm{sin}}^{-1}\left(\frac{1}{2}\right)={30}^{\circ}$

Step 2

$m\mathrm{\angle}D={30}^{\circ}$

in

d=19

j=38

Use sine law in

Step 2

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