Charlene is trying to find the unknown sides of a right triangle with a 30° acute angle, whose hypotenuse measures #12sqrt2#. What is Charlene's error?

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Answer 1 · 2018-01-08T13:13:23

Unknown sides are #6sqrt2, 6sqrt6#

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Three angles of the right triangle are

#A = 30^0, B = 60^0, C = 90^0#

Sides will be in the ratio,
#x : x sqrt3 : 2 x# as May be seen from the diagram above.

Given hypotenuse # 12sqrt2 = 2x#

#x = (12sqrt2) / 2 = 6 sqrt2#

Side opposite to #30^0 = x = 6sqrt2#

Side opposite to #60^0 = x sqrt3 = 6 sqrt2 * sqrt 3 = 6 sqrt6#