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12. Heron's Formula
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Q11 of 50 Page 12

The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.


Now in ∆ABC


AB = a = 34 cm, BC = b = 20 cm, AC = c = 42 cm


Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:


A = where


= = 48


A=


A = = cm2


Hence, area of Parallelograme ABCD =2× 336 =672 cm2


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9

Find the area of a quadrilateral ABCD in which AB = 42 cm, BC = 21 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

10

Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm, AD = 9 cm, CD = 12 cm, ACB = 90° and AC = 15 cm.

12

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13

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Questions · 50
12. Heron's Formula
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