How do you solve the triangle given #triangleDEF, d=36, e=72, mangleD=30#?

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Answer 1 · 2018-02-26T09:00:55

#color(blue)(f = 36sqrt3, hat F = 60^@, hat E = 90^@#

#color(blue)(d = 36, hat D = 30, e = 72#

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Applying law of sines,

#hatE = sin ^-1 ((sin D * e) / d) = sin ^-1 ((sin 30 * 72)/36) = 90^@#

#hat F = 180 - 30 - 90 = 60^@#

It’s a right triangle with angles #30, 60, 90#

#:. f = sqrt3 * 36 = 62.3538#

enter image source here