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Earn +20 ptsQ: Quadrilateral abcd is a square cb equals 10 what is the length of ac?
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Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees?
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Quadrilateral abcd is a parallelogram in which b equals 100 degrees.a plus c equals?
160 degrees.
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Quadrilateral abcd is a square bc equals 10 what is the length of ac?
If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).
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