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📄 areasconcept.html

📁 aptitude book by r s aggarwal
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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><h2>APTITUDE</h2></center></strong></TR><TR><TD align="left" width="200" valign="top"><table><TR><a href="numbers.html"><strong>Numbers</strong></a></TR><br><TR><a href="hcf.html"><strong>H.C.F and L.C.M</strong></a></TR><br><TR><a href="dec.html"><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html"><strong>Square and Cube roots</strong></a></TR><br><TR><a href="average.html" ><strong>Average</strong></a></TR><br><TR><a href="numbers.html" ><strong>Problems on Numbers</strong></a></TR><br><TR><a href="problemsonages.html"><strong>Problems on Ages</strong></a></TR><br><TR><a href="surdsandindices.html"><strong>Surds and Indices</strong></a></TR><br><TR><a href="percent.html"><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html"><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html"><strong>Ratio And Proportions</strong></a></TR><br><TR><a href="partnership.html"><strong>Partnership</strong></a></TR><br><TR><a href="chainrule1.html"><strong>Chain Rule</strong></a></TR><br><TR><a href="timeandwork.html"><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html"><strong>Pipes and Cisterns</strong></a></TR><br><TR><a href="timeanddistance.html"><strong>Time and Distance</strong></a></TR><br><TR><a href="trains.html"><strong>Trains</strong></a></TR><br><TR><a href="boats.html"><strong>Boats and Streams</strong></a></TR><br><TR><a href="alligation.html"><strong>Alligation or Mixture </strong></a></TR><br><TR><a href="simple.html"><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html"><strong>Areas</strong></a></TR><br><TR><a href="volume.html"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html"><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html"><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html"><strong>Clocks</strong></a></TR><br><TR><a href=""><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html"><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html"><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html"><strong>Oddmanout and Series</strong></a></TR><br><TR><a href=""><strong>Data Interpretation</strong></a></TR><br><TR><a href="probability.html"><strong>probability</strong></a></TR><br><TR><a href="percom1.html" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html"><strong>Puzzles</strong></a></TR></table></TD><TD valign="top"><a href="areas.html"  name="right"><b>BACK</b></a><font size="5"><center><b>AREAS</b></center></font><br><br><br><br><font size="4"><b>Important Facts and Formula:</b><br><br>RESULTS ON TRIANGLE<br><br>1.Sum of the angles of a triangle is 180 degrees.<br><br>2.The sum of any two sides of a triangle is greater<br> than third side.<br><br>3.PYTHAGORAS Theorem: <br><br>In a right angled triangle (Hypotenuse)2 = (Base)2 +(Height)2 <br><br>  4.The line joining the mid point of a side of a triangle<br> to the opposite vertex is  called the MEDIAN.<br><br>5.The point where the three medians of a triangle meet,<br> is called CENTROID. The centroid divides each of the <br>medians in the ratio 2:1<br><br>6.In an isosceles triangle, the altitude from the <br>vertex bisects the base<br><br>7.The median of a triangle divides it into two triangles <br>of the same area.<br><br>8.The area of the triangle formed by joining the mid points<br> of the sides of a given triangle is one-fourth of the area<br> of the given triangle.<br><br><strong>RESULTS ON QUADRILATERALS</strong><br><br>1.The diagonals of a Parallelogram bisect each other.<br><br>2.Each diagonal of a Parallelogram divides it into two<br> triangles of the same area.<br><br>3.The diagonals of a Rectangle are equal and bisect<br> each other<br><br>4.The diagonals of a Square are equal and bisect each <br>other at right angles.<br><br>5.The diagonals of a Rhombus are unequal and bisect <br>each other at right angles.<br><br>6.A Parallelogram and a Rectangle on the same base<br> and between the same parallels are equal in area.<br><br>7.Of all he parallelogram of given sides the parallelogram<br> which is a rectangle has the greatest area.<br><br><br><strong>FORMULAE</strong><br><br>1.Area of a RECTANGLE = length * breadth<br><br>   Length = (Area/Breadth) and Breadth = (Area/Length)<br><br>2.Perimeter of a RECTANGLE = 2(Length + Breadth)<br><br>3.Area of a SQUARE = (side)2 =  陆 ( Diagonal)2<br><br>4.Area of four walls of a room = 2(length + breadth) * height<br><br>5.Area of a TRIANGLE = 陆 * base * height<br><br>6.Area of a TRIANGLE = 鈭歔s * (s-a) * (s-b) * (s-c)],<br> where a,b,c are the sides of the triangle and s = 1/2(a+b+c)<br><br>7.Area of EQUILATERAL TRIANGLE =  鈭

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