SOLUTION: in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM find the area of the parallelogram
given diagonal AC is at right angle to AB i.e.tria
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Pythagorean-theorem
-> SOLUTION: in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM find the area of the parallelogram
given diagonal AC is at right angle to AB i.e.tria
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Question 459618: in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM find the area of the parallelogram
given diagonal AC is at right angle to AB i.e.triangle ABC is a right angled triangle
now applying Pythagorean theorem
BC^2=AC^2+AB^2
given AB=12 cm and AC=13 cm
hence AC^2=BC^2-AB^2
AC^2=169-144=25
therefore AC=5 cm
now area of parallelogram ABCD=2*area of triangle ABC
since we know that area of right angle triangle=1/2 *base *altitude
so area of triangle ABC=1/2*12*5=30 sq cm
and hence area of parallelogram is 60 sq cm Answer by pallavi(12) (Show Source):
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