The side of the rhombus is 17cm, one of the diagonals is 30cm. What is the second diagonal equal to?
| February 10, 2021 | education
The diagonals of the rhombus, at the point of their intersection, are divided in half and intersect at right angles.
Then the triangle AOB is rectangular with an angle C = 90, and AO = AC / 2 = 30/2 = 15 cm.
In a right-angled triangle AOB, according to the Pythagorean theorem, we determine the length of the leg BO.
BO ^ 2 = AB ^ 2 – AO ^ 2 = 289 – 225 = 64.
ВO = 8 cm, then ВD = 2 * ВO = 2 * 8 = 16 cm.
Answer: The length of the second diagonal is 16 cm.
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