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16. Find the area of a rhombus whose one side is 17 cm and one diagonal is 16 cm. |
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Answer» The rhombus has a perimeter of 68m.A rhombus has 4 equal sides, each would be 17m.One of the diagonals is 16m...this is bisected by the other diagonal into 8m segs.The diagonals of a rhombus intersect at right angles. Use the Pythagorean Theorem to find the length of the other diagonal...8² + b² = 17²64 + b² = 289b² = 225b = 15This is of course the length of just one segment, the diagonal is 30m.Now we can use our area formula with the diagonals.A = ½d¹d²A = ½(16)(30)A = 240 m² |
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