The diagonals of the rhombus are 2 and 2√3. Find the height of the rhombus.

univerkov | December 2, 2020 | education

Given: ABCD – rhombus, AC = 2, BD = 2√3
Find: AN
Decision:
S ABCD = AC * AB / 2 = 2 * 2√3 / 2 = 2√3
S ABCD = AC * AH
AH = S ABCD / AC = 2√3 / 2 = √3
Answer: The height of the rhombus is √3.

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