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If BC = 10.4and CD = 14.4, what is BD?
ABCD is a squre. forces of magnitudes 1,2,3,P, and Q units act along AB, BC, CD, DA and AC respectively. find the value of P and Q so that the resultant of five forces is a couple
The diagonals arenotthe sides. They're lines you draw from one angle of the parallelogram to the angle opposite it. So if you have parallelogram ABCD, your diagonals are AC and BD, because AB, BC, CD, and DA are all sides.
A Rectangle is a quadrilateral (four sided polygon) with two pairs of equal and parallel sides (opposite sides are parallel and equal, one pair is usually a different length from the other pair but if they are equal it is called a square), and all angles are right angles (90°). It has two diagonals which have the properties:The diagonals are always congruent (of equal length);The diagonals bisect each other (cut each other into two equal parts);The diagonals do not bisect the angles (unless the rectangle is a square when they do);The diagonals are not perpendicular (unless the rectangle is a square when they do).PROOF of the diagonals congruent:Take a rectangle ABCD with diagonals AC and BD.Using Pythagoras on the triangles ACD and BCD:AC² = AD² + CD²BD² = BC² + CD²But as ABCD is a rectangle AD = BC since they are opposite and parallel; thus:AC² = AD² + CD² = BC² + CD² = BD²Thus, as AC and BD are the diagonals, they are equal.Therefore the diagonals of a rectangle are congruent.
Let ABCD be a rectangleAB = CD = 9 ftBC = DA(AB)x(BC) = 54 ftBC = 54/(AB) = 54/9 = 6 ftperimeter = (AB)+(BC)+(CD)+(DA) = 2(AB)+2(BC) = 2x9+2x6 = 30 ft