The length of each side of a rhombus is 10 and the measure of an angle of the rhombus is 60. Find the length of the longer diagonal of the rhombus.
Question
Answer:
the diagonals of a rhombus are perpendicular bisectors of each other, and are also angle bisectors. The 4 congruent right triangles the rhombus is cut into by the two diagonals are 30-60-90 degree triangles, the longer leg isΒ β3/2 of the hypotenuse, β3/2 of 10=5β3. so the longer diagonal is twice ofΒ 5β3=10β3Β
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