Theorem: If the acute angles of a right angled triangle have measures 30° and 60 , then
the length of the side opposite to 30° angle is half the length of the hypotenuse.
(Fill in the blanks and complete the proof .)
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Step-by-step explanation:
in triangle LMN, angle L=30°, angle N=60°, angle M=90°
therefore side opposite 30°angle=MN=1÷2×LN
side opposite 60°angle =LM=√3÷2×LN
if LN=6cm,we will find MN and LM
MN=1÷2×LN
=1÷2×6
=3cm
LM=√3÷2×LN
=√3÷2×6
=3√3 cm
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