Heron's Formula : In some cases, length of each side of the triangle are given but height of the triangle is neither given nor we are able to find in any way, then to find the area of such type of triangle, we use Heron's formula which is given below.
Area of triangle = , where a,b,c are length of the sides of a triangle and s is the semi-perimeter of the triangle i.e.
Example: Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm. Solution : We divide the quadrilateral ABCD in two triangle ABC and ACD For ABC, a = 3, b = 4, c = 5 and Area (ABC) = = = 6 Similarly, for ACD, a = 5 cm, b = 5 cm, c = 4 cm and s = Area ( ACD ) = = = = Area of quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD = + |
The sides of a triangular field are 325 m 300 m and 125 m The area in sq. m. is ______________________. | |||
Right Option : A | |||
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The area of a triangle with each side equals 5.1 meters and third side 4.6 meters is _______________________. | |||
Right Option : A | |||
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The area of a triangle, whose sides are 4 cm, 13 cm and 15 cm, is __________________. | |||
Right Option : B | |||
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I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.