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Q: In the rectangle below ac has a length of 28 what is the length of ed?
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What are the properties of the diagonals of a rectangle?

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.


How many feet is 4.67 ac?

The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.


If the measure of angle A is 30° and AC=18,find the length of AB?

36/√3


What is the diagonal line for a rectangle size 100m x 75cm?

Pythagoras! If AB = 100m and BC = 75cm then AC = sqrt (10000 + 5625) = 125


How to Prove the diagonals of a rectangle bisect each other?

In rectangle ABCD, diagonals AC and BD meet at E. Angles BAC and DCA are alternate (since AB and DC are parallel) and are therefore equal. The same is true of angles ABD and CDB. Also, AB = DC, so that triangles ABE and CDE are congruent. Thus, |AE| = |EC| and |BE| = |ED|, that is, the point E bisects both AC and BD.QED

Related questions

In the rectangle below AC has a length of 28 units. What is the length of DE?

14 units.


In the rectangle below AC has a length of 32 units. What is the length of DE?

You cannot post a picture on WikiAnswers so there is no "rectangle below" for us to look at.


Are the diagonals of a rectangle congruent always?

Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.


In parallelogram ABCD ACBD. is ABCD a rectangle?

In parallelogram ABCD, AC=BD. Is ABCD a rectangle?


Figure abc is rectangle. segment AB is 6cm long , segment BC is 8 cm long , and segment AC is 10 cm long. what is the area of triangle abc?

28


What is the relationship between the area of rectangle ABCD and the area of ABC?

Area of a rectangle = length of base x height Area of a triangle = (length of base x height)/2 A.............................................. B mmmmmmmmmmmmmmmmmmm m.............................................. m m ..............................................m m.............................................. m m.............................................. m m.............................................. m m ..............................................m m.............................................. m mmmmmmmmmmmmmmmmmmm C ..............................................D Area of ABCD = AB x AC Area of ABCD = (AB X AC)/2 Then Area of ABCD = 2 Area of ABC


What is the length of line AC given that line BD is perpendicular to AC?

26.9


In parallelogram ABCD AC is congruent to BD. determine whether the parallelogram is a rectangle?

Yes, it is.


If parallelogram abcd is a square then ac will equal bd?

Only if parallelogram is in the form of a rectangle will AC equal BD because a square is not a parallelogram.


What are the properties of the diagonals of a rectangle?

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.


Which one of the following veins is found only in or below the AC fossa?

The basilic vein is found only in or below the AC fossa.


How many feet is 4.67 ac?

The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.The answer will depend on what ac is: it is not an abbreviation of any standard unit of length.